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Finding the Fourth Proportional to 24,385.80, 36,580.04 and 6,854.24

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Solution

The fourth proportional to 24,385.80, 36,580.04 and 6,854.24 is: 10,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,385.80 : 36,580.04 = 6,854.24 : x
  2. Step 2: Convert to fraction form
    24,385.80/36,580.04 = 6,854.24/x
  3. Step 3: Cross multiply
    24,385.80x = 36,580.04 × 6,854.24
  4. Step 4: Simplify right side
    24,385.80x = 250,728,373.37
  5. Step 5: Solve for x
    x = 250,728,373.37/24,385.80
  6. Step 6: Final answer
    x = 10,281.74

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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.