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Finding the Fourth Proportional to 13,853.74, 19,118.16 and 7,566.10

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Solution

The fourth proportional to 13,853.74, 19,118.16 and 7,566.10 is: 10,441.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.74 : 19,118.16 = 7,566.10 : x
  2. Step 2: Convert to fraction form
    13,853.74/19,118.16 = 7,566.10/x
  3. Step 3: Cross multiply
    13,853.74x = 19,118.16 × 7,566.10
  4. Step 4: Simplify right side
    13,853.74x = 144,649,910.38
  5. Step 5: Solve for x
    x = 144,649,910.38/13,853.74
  6. Step 6: Final answer
    x = 10,441.22

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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.