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Finding the Fourth Proportional to 16,280.42, 24,403.88 and 7,401.92

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Solution

The fourth proportional to 16,280.42, 24,403.88 and 7,401.92 is: 11,095.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,280.42 : 24,403.88 = 7,401.92 : x
  2. Step 2: Convert to fraction form
    16,280.42/24,403.88 = 7,401.92/x
  3. Step 3: Cross multiply
    16,280.42x = 24,403.88 × 7,401.92
  4. Step 4: Simplify right side
    16,280.42x = 180,635,638.62
  5. Step 5: Solve for x
    x = 180,635,638.62/16,280.42
  6. Step 6: Final answer
    x = 11,095.27

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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.