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Finding the Fourth Proportional to 24,321.43, 36,460.61 and 9,540.95

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Solution

The fourth proportional to 24,321.43, 36,460.61 and 9,540.95 is: 14,302.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,321.43 : 36,460.61 = 9,540.95 : x
  2. Step 2: Convert to fraction form
    24,321.43/36,460.61 = 9,540.95/x
  3. Step 3: Cross multiply
    24,321.43x = 36,460.61 × 9,540.95
  4. Step 4: Simplify right side
    24,321.43x = 347,868,809.27
  5. Step 5: Solve for x
    x = 347,868,809.27/24,321.43
  6. Step 6: Final answer
    x = 14,302.98

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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.