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Finding the Fourth Proportional to 12,438.65, 18,652.53 and 4,003.13

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Solution

The fourth proportional to 12,438.65, 18,652.53 and 4,003.13 is: 6,002.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.65 : 18,652.53 = 4,003.13 : x
  2. Step 2: Convert to fraction form
    12,438.65/18,652.53 = 4,003.13/x
  3. Step 3: Cross multiply
    12,438.65x = 18,652.53 × 4,003.13
  4. Step 4: Simplify right side
    12,438.65x = 74,668,502.42
  5. Step 5: Solve for x
    x = 74,668,502.42/12,438.65
  6. Step 6: Final answer
    x = 6,002.94

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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.