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Finding the Fourth Proportional to 24,334.40, 36,498.46 and 7,696.12

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Solution

The fourth proportional to 24,334.40, 36,498.46 and 7,696.12 is: 11,543.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,334.40 : 36,498.46 = 7,696.12 : x
  2. Step 2: Convert to fraction form
    24,334.40/36,498.46 = 7,696.12/x
  3. Step 3: Cross multiply
    24,334.40x = 36,498.46 × 7,696.12
  4. Step 4: Simplify right side
    24,334.40x = 280,896,527.98
  5. Step 5: Solve for x
    x = 280,896,527.98/24,334.40
  6. Step 6: Final answer
    x = 11,543.19

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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.