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Finding the Fourth Proportional to 12,609.31, 17,397.18 and 8,135.68

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Solution

The fourth proportional to 12,609.31, 17,397.18 and 8,135.68 is: 11,224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.31 : 17,397.18 = 8,135.68 : x
  2. Step 2: Convert to fraction form
    12,609.31/17,397.18 = 8,135.68/x
  3. Step 3: Cross multiply
    12,609.31x = 17,397.18 × 8,135.68
  4. Step 4: Simplify right side
    12,609.31x = 141,537,802.40
  5. Step 5: Solve for x
    x = 141,537,802.40/12,609.31
  6. Step 6: Final answer
    x = 11,224.87

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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.