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Finding the Fourth Proportional to 38,403.57, 57,613.16 and 16,216.86

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Solution

The fourth proportional to 38,403.57, 57,613.16 and 16,216.86 is: 24,328.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,403.57 : 57,613.16 = 16,216.86 : x
  2. Step 2: Convert to fraction form
    38,403.57/57,613.16 = 16,216.86/x
  3. Step 3: Cross multiply
    38,403.57x = 57,613.16 × 16,216.86
  4. Step 4: Simplify right side
    38,403.57x = 934,304,549.88
  5. Step 5: Solve for x
    x = 934,304,549.88/38,403.57
  6. Step 6: Final answer
    x = 24,328.59

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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.