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Finding the Fourth Proportional to 13,863.96, 19,132.14 and 7,816.14

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Solution

The fourth proportional to 13,863.96, 19,132.14 and 7,816.14 is: 10,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.96 : 19,132.14 = 7,816.14 : x
  2. Step 2: Convert to fraction form
    13,863.96/19,132.14 = 7,816.14/x
  3. Step 3: Cross multiply
    13,863.96x = 19,132.14 × 7,816.14
  4. Step 4: Simplify right side
    13,863.96x = 149,539,484.74
  5. Step 5: Solve for x
    x = 149,539,484.74/13,863.96
  6. Step 6: Final answer
    x = 10,786.20

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.