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Finding the Fourth Proportional to 13,374.92, 18,459.68 and 7,708.66

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Solution

The fourth proportional to 13,374.92, 18,459.68 and 7,708.66 is: 10,639.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.92 : 18,459.68 = 7,708.66 : x
  2. Step 2: Convert to fraction form
    13,374.92/18,459.68 = 7,708.66/x
  3. Step 3: Cross multiply
    13,374.92x = 18,459.68 × 7,708.66
  4. Step 4: Simplify right side
    13,374.92x = 142,299,312.14
  5. Step 5: Solve for x
    x = 142,299,312.14/13,374.92
  6. Step 6: Final answer
    x = 10,639.26

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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.