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Finding the Fourth Proportional to 24,897.69, 34,358.67 and 13,567.86

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Solution

The fourth proportional to 24,897.69, 34,358.67 and 13,567.86 is: 18,723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,897.69 : 34,358.67 = 13,567.86 : x
  2. Step 2: Convert to fraction form
    24,897.69/34,358.67 = 13,567.86/x
  3. Step 3: Cross multiply
    24,897.69x = 34,358.67 × 13,567.86
  4. Step 4: Simplify right side
    24,897.69x = 466,173,624.35
  5. Step 5: Solve for x
    x = 466,173,624.35/24,897.69
  6. Step 6: Final answer
    x = 18,723.57

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