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Finding the Fourth Proportional to 12,387.96, 18,580.92 and 4,596

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Solution

The fourth proportional to 12,387.96, 18,580.92 and 4,596 is: 6,893.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,387.96 : 18,580.92 = 4,596 : x
  2. Step 2: Convert to fraction form
    12,387.96/18,580.92 = 4,596/x
  3. Step 3: Cross multiply
    12,387.96x = 18,580.92 × 4,596
  4. Step 4: Simplify right side
    12,387.96x = 85,397,908.32
  5. Step 5: Solve for x
    x = 85,397,908.32/12,387.96
  6. Step 6: Final answer
    x = 6,893.62

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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.