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Finding the Fourth Proportional to 24,453.46, 36,672.26 and 7,809.60

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Solution

The fourth proportional to 24,453.46, 36,672.26 and 7,809.60 is: 11,711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,453.46 : 36,672.26 = 7,809.60 : x
  2. Step 2: Convert to fraction form
    24,453.46/36,672.26 = 7,809.60/x
  3. Step 3: Cross multiply
    24,453.46x = 36,672.26 × 7,809.60
  4. Step 4: Simplify right side
    24,453.46x = 286,395,681.70
  5. Step 5: Solve for x
    x = 286,395,681.70/24,453.46
  6. Step 6: Final answer
    x = 11,711.87

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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.