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Finding the Fourth Proportional to 22,635.95, 31,234.28 and 12,564.46

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Solution

The fourth proportional to 22,635.95, 31,234.28 and 12,564.46 is: 17,337.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,635.95 : 31,234.28 = 12,564.46 : x
  2. Step 2: Convert to fraction form
    22,635.95/31,234.28 = 12,564.46/x
  3. Step 3: Cross multiply
    22,635.95x = 31,234.28 × 12,564.46
  4. Step 4: Simplify right side
    22,635.95x = 392,441,837.91
  5. Step 5: Solve for x
    x = 392,441,837.91/22,635.95
  6. Step 6: Final answer
    x = 17,337.11

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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.