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Finding the Fourth Proportional to 24,295.28, 36,442.71 and 9,514.53

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Solution

The fourth proportional to 24,295.28, 36,442.71 and 9,514.53 is: 14,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,295.28 : 36,442.71 = 9,514.53 : x
  2. Step 2: Convert to fraction form
    24,295.28/36,442.71 = 9,514.53/x
  3. Step 3: Cross multiply
    24,295.28x = 36,442.71 × 9,514.53
  4. Step 4: Simplify right side
    24,295.28x = 346,735,257.58
  5. Step 5: Solve for x
    x = 346,735,257.58/24,295.28
  6. Step 6: Final answer
    x = 14,271.72

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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.