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Finding the Fourth Proportional to 22,726.98, 31,362.75 and 12,655.17

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Solution

The fourth proportional to 22,726.98, 31,362.75 and 12,655.17 is: 17,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,726.98 : 31,362.75 = 12,655.17 : x
  2. Step 2: Convert to fraction form
    22,726.98/31,362.75 = 12,655.17/x
  3. Step 3: Cross multiply
    22,726.98x = 31,362.75 × 12,655.17
  4. Step 4: Simplify right side
    22,726.98x = 396,900,932.92
  5. Step 5: Solve for x
    x = 396,900,932.92/22,726.98
  6. Step 6: Final answer
    x = 17,463.87

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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.