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Finding the Fourth Proportional to 22,977.52, 31,708.96 and 13,041.52

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Solution

The fourth proportional to 22,977.52, 31,708.96 and 13,041.52 is: 17,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977.52 : 31,708.96 = 13,041.52 : x
  2. Step 2: Convert to fraction form
    22,977.52/31,708.96 = 13,041.52/x
  3. Step 3: Cross multiply
    22,977.52x = 31,708.96 × 13,041.52
  4. Step 4: Simplify right side
    22,977.52x = 413,533,036.02
  5. Step 5: Solve for x
    x = 413,533,036.02/22,977.52
  6. Step 6: Final answer
    x = 17,997.29

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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.