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Finding the Fourth Proportional to 24,306.72, 33,543.12 and 13,699.80

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Solution

The fourth proportional to 24,306.72, 33,543.12 and 13,699.80 is: 18,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,306.72 : 33,543.12 = 13,699.80 : x
  2. Step 2: Convert to fraction form
    24,306.72/33,543.12 = 13,699.80/x
  3. Step 3: Cross multiply
    24,306.72x = 33,543.12 × 13,699.80
  4. Step 4: Simplify right side
    24,306.72x = 459,534,035.38
  5. Step 5: Solve for x
    x = 459,534,035.38/24,306.72
  6. Step 6: Final answer
    x = 18,905.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.