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Finding the Fourth Proportional to 12,425.79, 18,638.69 and 11,665.47

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Solution

The fourth proportional to 12,425.79, 18,638.69 and 11,665.47 is: 17,498.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,425.79 : 18,638.69 = 11,665.47 : x
  2. Step 2: Convert to fraction form
    12,425.79/18,638.69 = 11,665.47/x
  3. Step 3: Cross multiply
    12,425.79x = 18,638.69 × 11,665.47
  4. Step 4: Simplify right side
    12,425.79x = 217,429,020.71
  5. Step 5: Solve for x
    x = 217,429,020.71/12,425.79
  6. Step 6: Final answer
    x = 17,498.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.