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Finding the Fourth Proportional to 24,287.88, 36,433.28 and 7,648.45

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Solution

The fourth proportional to 24,287.88, 36,433.28 and 7,648.45 is: 11,473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,287.88 : 36,433.28 = 7,648.45 : x
  2. Step 2: Convert to fraction form
    24,287.88/36,433.28 = 7,648.45/x
  3. Step 3: Cross multiply
    24,287.88x = 36,433.28 × 7,648.45
  4. Step 4: Simplify right side
    24,287.88x = 278,658,082.17
  5. Step 5: Solve for x
    x = 278,658,082.17/24,287.88
  6. Step 6: Final answer
    x = 11,473.14

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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.