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Finding the Fourth Proportional to 27,718.97, 38,252.16 and 14,972.16

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Solution

The fourth proportional to 27,718.97, 38,252.16 and 14,972.16 is: 20,661.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,718.97 : 38,252.16 = 14,972.16 : x
  2. Step 2: Convert to fraction form
    27,718.97/38,252.16 = 14,972.16/x
  3. Step 3: Cross multiply
    27,718.97x = 38,252.16 × 14,972.16
  4. Step 4: Simplify right side
    27,718.97x = 572,717,459.87
  5. Step 5: Solve for x
    x = 572,717,459.87/27,718.97
  6. Step 6: Final answer
    x = 20,661.57

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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.