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Finding the Fourth Proportional to 24,475.33, 36,702.61 and 7,830.87

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Solution

The fourth proportional to 24,475.33, 36,702.61 and 7,830.87 is: 11,742.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,475.33 : 36,702.61 = 7,830.87 : x
  2. Step 2: Convert to fraction form
    24,475.33/36,702.61 = 7,830.87/x
  3. Step 3: Cross multiply
    24,475.33x = 36,702.61 × 7,830.87
  4. Step 4: Simplify right side
    24,475.33x = 287,413,367.57
  5. Step 5: Solve for x
    x = 287,413,367.57/24,475.33
  6. Step 6: Final answer
    x = 11,742.98

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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.