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Finding the Fourth Proportional to 24,172.68, 36,264.64 and 7,531.84

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Solution

The fourth proportional to 24,172.68, 36,264.64 and 7,531.84 is: 11,299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,172.68 : 36,264.64 = 7,531.84 : x
  2. Step 2: Convert to fraction form
    24,172.68/36,264.64 = 7,531.84/x
  3. Step 3: Cross multiply
    24,172.68x = 36,264.64 × 7,531.84
  4. Step 4: Simplify right side
    24,172.68x = 273,139,466.14
  5. Step 5: Solve for x
    x = 273,139,466.14/24,172.68
  6. Step 6: Final answer
    x = 11,299.51

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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.