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Finding the Fourth Proportional to 24,266.85, 36,385.91 and 9,458.48

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Solution

The fourth proportional to 24,266.85, 36,385.91 and 9,458.48 is: 14,182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,266.85 : 36,385.91 = 9,458.48 : x
  2. Step 2: Convert to fraction form
    24,266.85/36,385.91 = 9,458.48/x
  3. Step 3: Cross multiply
    24,266.85x = 36,385.91 × 9,458.48
  4. Step 4: Simplify right side
    24,266.85x = 344,155,402.02
  5. Step 5: Solve for x
    x = 344,155,402.02/24,266.85
  6. Step 6: Final answer
    x = 14,182.12

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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.