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Finding the Fourth Proportional to 27,981, 38,613.78 and 15,406.02

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Solution

The fourth proportional to 27,981, 38,613.78 and 15,406.02 is: 21,260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,981 : 38,613.78 = 15,406.02 : x
  2. Step 2: Convert to fraction form
    27,981/38,613.78 = 15,406.02/x
  3. Step 3: Cross multiply
    27,981x = 38,613.78 × 15,406.02
  4. Step 4: Simplify right side
    27,981x = 594,884,666.96
  5. Step 5: Solve for x
    x = 594,884,666.96/27,981
  6. Step 6: Final answer
    x = 21,260.31

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