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Finding the Fourth Proportional to 24,340.32, 36,496.50 and 9,531.90

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Solution

The fourth proportional to 24,340.32, 36,496.50 and 9,531.90 is: 14,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,340.32 : 36,496.50 = 9,531.90 : x
  2. Step 2: Convert to fraction form
    24,340.32/36,496.50 = 9,531.90/x
  3. Step 3: Cross multiply
    24,340.32x = 36,496.50 × 9,531.90
  4. Step 4: Simplify right side
    24,340.32x = 347,880,988.35
  5. Step 5: Solve for x
    x = 347,880,988.35/24,340.32
  6. Step 6: Final answer
    x = 14,292.38

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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.