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Finding the Fourth Proportional to 27,913.84, 38,505.72 and 17,686.16

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Solution

The fourth proportional to 27,913.84, 38,505.72 and 17,686.16 is: 24,397.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,913.84 : 38,505.72 = 17,686.16 : x
  2. Step 2: Convert to fraction form
    27,913.84/38,505.72 = 17,686.16/x
  3. Step 3: Cross multiply
    27,913.84x = 38,505.72 × 17,686.16
  4. Step 4: Simplify right side
    27,913.84x = 681,018,324.84
  5. Step 5: Solve for x
    x = 681,018,324.84/27,913.84
  6. Step 6: Final answer
    x = 24,397.16

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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.