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Finding the Fourth Proportional to 24,288.63, 36,434.40 and 7,649.20

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Solution

The fourth proportional to 24,288.63, 36,434.40 and 7,649.20 is: 11,474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,288.63 : 36,434.40 = 7,649.20 : x
  2. Step 2: Convert to fraction form
    24,288.63/36,434.40 = 7,649.20/x
  3. Step 3: Cross multiply
    24,288.63x = 36,434.40 × 7,649.20
  4. Step 4: Simplify right side
    24,288.63x = 278,694,012.48
  5. Step 5: Solve for x
    x = 278,694,012.48/24,288.63
  6. Step 6: Final answer
    x = 11,474.26

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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.