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Finding the Fourth Proportional to 12,587.96, 18,884.46 and 7,049.18

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Solution

The fourth proportional to 12,587.96, 18,884.46 and 7,049.18 is: 10,575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,587.96 : 18,884.46 = 7,049.18 : x
  2. Step 2: Convert to fraction form
    12,587.96/18,884.46 = 7,049.18/x
  3. Step 3: Cross multiply
    12,587.96x = 18,884.46 × 7,049.18
  4. Step 4: Simplify right side
    12,587.96x = 133,119,957.74
  5. Step 5: Solve for x
    x = 133,119,957.74/12,587.96
  6. Step 6: Final answer
    x = 10,575.18

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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.