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Finding the Fourth Proportional to 16,280.67, 24,404.25 and 7,402.17

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Solution

The fourth proportional to 16,280.67, 24,404.25 and 7,402.17 is: 11,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,280.67 : 24,404.25 = 7,402.17 : x
  2. Step 2: Convert to fraction form
    16,280.67/24,404.25 = 7,402.17/x
  3. Step 3: Cross multiply
    16,280.67x = 24,404.25 × 7,402.17
  4. Step 4: Simplify right side
    16,280.67x = 180,644,486.74
  5. Step 5: Solve for x
    x = 180,644,486.74/16,280.67
  6. Step 6: Final answer
    x = 11,095.64

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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.