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Finding the Fourth Proportional to 24,015.50, 36,024.28 and 7,376.20

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Solution

The fourth proportional to 24,015.50, 36,024.28 and 7,376.20 is: 11,064.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,015.50 : 36,024.28 = 7,376.20 : x
  2. Step 2: Convert to fraction form
    24,015.50/36,024.28 = 7,376.20/x
  3. Step 3: Cross multiply
    24,015.50x = 36,024.28 × 7,376.20
  4. Step 4: Simplify right side
    24,015.50x = 265,722,114.01
  5. Step 5: Solve for x
    x = 265,722,114.01/24,015.50
  6. Step 6: Final answer
    x = 11,064.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.