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Finding the Fourth Proportional to 14,432.30, 21,659.78 and 7,412.03

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Solution

The fourth proportional to 14,432.30, 21,659.78 and 7,412.03 is: 11,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432.30 : 21,659.78 = 7,412.03 : x
  2. Step 2: Convert to fraction form
    14,432.30/21,659.78 = 7,412.03/x
  3. Step 3: Cross multiply
    14,432.30x = 21,659.78 × 7,412.03
  4. Step 4: Simplify right side
    14,432.30x = 160,542,849.38
  5. Step 5: Solve for x
    x = 160,542,849.38/14,432.30
  6. Step 6: Final answer
    x = 11,123.86

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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.