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Finding the Fourth Proportional to 22,498.92, 31,052.49 and 12,938.06

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Solution

The fourth proportional to 22,498.92, 31,052.49 and 12,938.06 is: 17,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,498.92 : 31,052.49 = 12,938.06 : x
  2. Step 2: Convert to fraction form
    22,498.92/31,052.49 = 12,938.06/x
  3. Step 3: Cross multiply
    22,498.92x = 31,052.49 × 12,938.06
  4. Step 4: Simplify right side
    22,498.92x = 401,758,978.77
  5. Step 5: Solve for x
    x = 401,758,978.77/22,498.92
  6. Step 6: Final answer
    x = 17,856.81

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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.