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Finding the Fourth Proportional to 16,012.32, 24,014.76 and 5,624.04

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Solution

The fourth proportional to 16,012.32, 24,014.76 and 5,624.04 is: 8,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012.32 : 24,014.76 = 5,624.04 : x
  2. Step 2: Convert to fraction form
    16,012.32/24,014.76 = 5,624.04/x
  3. Step 3: Cross multiply
    16,012.32x = 24,014.76 × 5,624.04
  4. Step 4: Simplify right side
    16,012.32x = 135,059,970.83
  5. Step 5: Solve for x
    x = 135,059,970.83/16,012.32
  6. Step 6: Final answer
    x = 8,434.75

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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.