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Finding the Fourth Proportional to 12,014.65, 16,581.47 and 7,538.59

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Solution

The fourth proportional to 12,014.65, 16,581.47 and 7,538.59 is: 10,404.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.65 : 16,581.47 = 7,538.59 : x
  2. Step 2: Convert to fraction form
    12,014.65/16,581.47 = 7,538.59/x
  3. Step 3: Cross multiply
    12,014.65x = 16,581.47 × 7,538.59
  4. Step 4: Simplify right side
    12,014.65x = 125,000,824.78
  5. Step 5: Solve for x
    x = 125,000,824.78/12,014.65
  6. Step 6: Final answer
    x = 10,404.04

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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.