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Finding the Fourth Proportional to 22,709.52, 31,338.54 and 12,637.98

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Solution

The fourth proportional to 22,709.52, 31,338.54 and 12,637.98 is: 17,440.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.52 : 31,338.54 = 12,637.98 : x
  2. Step 2: Convert to fraction form
    22,709.52/31,338.54 = 12,637.98/x
  3. Step 3: Cross multiply
    22,709.52x = 31,338.54 × 12,637.98
  4. Step 4: Simplify right side
    22,709.52x = 396,055,841.75
  5. Step 5: Solve for x
    x = 396,055,841.75/22,709.52
  6. Step 6: Final answer
    x = 17,440.08

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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.