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Finding the Fourth Proportional to 24,264.50, 36,395.12 and 6,734.48

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Solution

The fourth proportional to 24,264.50, 36,395.12 and 6,734.48 is: 10,101.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,264.50 : 36,395.12 = 6,734.48 : x
  2. Step 2: Convert to fraction form
    24,264.50/36,395.12 = 6,734.48/x
  3. Step 3: Cross multiply
    24,264.50x = 36,395.12 × 6,734.48
  4. Step 4: Simplify right side
    24,264.50x = 245,102,207.74
  5. Step 5: Solve for x
    x = 245,102,207.74/24,264.50
  6. Step 6: Final answer
    x = 10,101.27

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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.