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Finding the Fourth Proportional to 24,407.68, 36,598.40 and 7,763.20

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Solution

The fourth proportional to 24,407.68, 36,598.40 and 7,763.20 is: 11,640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,407.68 : 36,598.40 = 7,763.20 : x
  2. Step 2: Convert to fraction form
    24,407.68/36,598.40 = 7,763.20/x
  3. Step 3: Cross multiply
    24,407.68x = 36,598.40 × 7,763.20
  4. Step 4: Simplify right side
    24,407.68x = 284,120,698.88
  5. Step 5: Solve for x
    x = 284,120,698.88/24,407.68
  6. Step 6: Final answer
    x = 11,640.63

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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.