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Finding the Fourth Proportional to 12,472.43, 17,205.39 and 7,748.51

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Solution

The fourth proportional to 12,472.43, 17,205.39 and 7,748.51 is: 10,688.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.43 : 17,205.39 = 7,748.51 : x
  2. Step 2: Convert to fraction form
    12,472.43/17,205.39 = 7,748.51/x
  3. Step 3: Cross multiply
    12,472.43x = 17,205.39 × 7,748.51
  4. Step 4: Simplify right side
    12,472.43x = 133,316,125.43
  5. Step 5: Solve for x
    x = 133,316,125.43/12,472.43
  6. Step 6: Final answer
    x = 10,688.86

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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.