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Finding the Fourth Proportional to 16,400.32, 24,598.40 and 6,011.20

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Solution

The fourth proportional to 16,400.32, 24,598.40 and 6,011.20 is: 9,016.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.32 : 24,598.40 = 6,011.20 : x
  2. Step 2: Convert to fraction form
    16,400.32/24,598.40 = 6,011.20/x
  3. Step 3: Cross multiply
    16,400.32x = 24,598.40 × 6,011.20
  4. Step 4: Simplify right side
    16,400.32x = 147,865,902.08
  5. Step 5: Solve for x
    x = 147,865,902.08/16,400.32
  6. Step 6: Final answer
    x = 9,016.04

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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.