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Finding the Fourth Proportional to 22,755.47, 31,390.13 and 14,255.75

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Solution

The fourth proportional to 22,755.47, 31,390.13 and 14,255.75 is: 19,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,755.47 : 31,390.13 = 14,255.75 : x
  2. Step 2: Convert to fraction form
    22,755.47/31,390.13 = 14,255.75/x
  3. Step 3: Cross multiply
    22,755.47x = 31,390.13 × 14,255.75
  4. Step 4: Simplify right side
    22,755.47x = 447,489,959.86
  5. Step 5: Solve for x
    x = 447,489,959.86/22,755.47
  6. Step 6: Final answer
    x = 19,665.16

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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.