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Finding the Fourth Proportional to 19,794.84, 27,317.16 and 10,842.16

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Solution

The fourth proportional to 19,794.84, 27,317.16 and 10,842.16 is: 14,962.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,794.84 : 27,317.16 = 10,842.16 : x
  2. Step 2: Convert to fraction form
    19,794.84/27,317.16 = 10,842.16/x
  3. Step 3: Cross multiply
    19,794.84x = 27,317.16 × 10,842.16
  4. Step 4: Simplify right side
    19,794.84x = 296,177,019.47
  5. Step 5: Solve for x
    x = 296,177,019.47/19,794.84
  6. Step 6: Final answer
    x = 14,962.33

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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.