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Finding the Fourth Proportional to 22,546.34, 31,113.78 and 12,610.34

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Solution

The fourth proportional to 22,546.34, 31,113.78 and 12,610.34 is: 17,402.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546.34 : 31,113.78 = 12,610.34 : x
  2. Step 2: Convert to fraction form
    22,546.34/31,113.78 = 12,610.34/x
  3. Step 3: Cross multiply
    22,546.34x = 31,113.78 × 12,610.34
  4. Step 4: Simplify right side
    22,546.34x = 392,355,344.49
  5. Step 5: Solve for x
    x = 392,355,344.49/22,546.34
  6. Step 6: Final answer
    x = 17,402.17

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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.