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Finding the Fourth Proportional to 23,110.53, 31,892.49 and 12,500.13

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Solution

The fourth proportional to 23,110.53, 31,892.49 and 12,500.13 is: 17,250.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,110.53 : 31,892.49 = 12,500.13 : x
  2. Step 2: Convert to fraction form
    23,110.53/31,892.49 = 12,500.13/x
  3. Step 3: Cross multiply
    23,110.53x = 31,892.49 × 12,500.13
  4. Step 4: Simplify right side
    23,110.53x = 398,660,271.02
  5. Step 5: Solve for x
    x = 398,660,271.02/23,110.53
  6. Step 6: Final answer
    x = 17,250.16

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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.