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Finding the Fourth Proportional to 27,981, 38,613.96 and 15,406.56

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Solution

The fourth proportional to 27,981, 38,613.96 and 15,406.56 is: 21,261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,981 : 38,613.96 = 15,406.56 : x
  2. Step 2: Convert to fraction form
    27,981/38,613.96 = 15,406.56/x
  3. Step 3: Cross multiply
    27,981x = 38,613.96 × 15,406.56
  4. Step 4: Simplify right side
    27,981x = 594,908,291.58
  5. Step 5: Solve for x
    x = 594,908,291.58/27,981
  6. Step 6: Final answer
    x = 21,261.15

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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.