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Finding the Fourth Proportional to 16,403.73, 24,609.15 and 5,311.53

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Solution

The fourth proportional to 16,403.73, 24,609.15 and 5,311.53 is: 7,968.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,403.73 : 24,609.15 = 5,311.53 : x
  2. Step 2: Convert to fraction form
    16,403.73/24,609.15 = 5,311.53/x
  3. Step 3: Cross multiply
    16,403.73x = 24,609.15 × 5,311.53
  4. Step 4: Simplify right side
    16,403.73x = 130,712,238.50
  5. Step 5: Solve for x
    x = 130,712,238.50/16,403.73
  6. Step 6: Final answer
    x = 7,968.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.