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Finding the Fourth Proportional to 23,718.47, 32,731.02 and 13,108.14

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Solution

The fourth proportional to 23,718.47, 32,731.02 and 13,108.14 is: 18,088.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,718.47 : 32,731.02 = 13,108.14 : x
  2. Step 2: Convert to fraction form
    23,718.47/32,731.02 = 13,108.14/x
  3. Step 3: Cross multiply
    23,718.47x = 32,731.02 × 13,108.14
  4. Step 4: Simplify right side
    23,718.47x = 429,042,792.50
  5. Step 5: Solve for x
    x = 429,042,792.50/23,718.47
  6. Step 6: Final answer
    x = 18,088.98

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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.