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Finding the Fourth Proportional to 22,606.46, 31,196.54 and 12,397.46

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Solution

The fourth proportional to 22,606.46, 31,196.54 and 12,397.46 is: 17,108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,606.46 : 31,196.54 = 12,397.46 : x
  2. Step 2: Convert to fraction form
    22,606.46/31,196.54 = 12,397.46/x
  3. Step 3: Cross multiply
    22,606.46x = 31,196.54 × 12,397.46
  4. Step 4: Simplify right side
    22,606.46x = 386,757,856.79
  5. Step 5: Solve for x
    x = 386,757,856.79/22,606.46
  6. Step 6: Final answer
    x = 17,108.29

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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.