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Finding the Fourth Proportional to 24,499.90, 36,728.28 and 9,719.20

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Solution

The fourth proportional to 24,499.90, 36,728.28 and 9,719.20 is: 14,570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,499.90 : 36,728.28 = 9,719.20 : x
  2. Step 2: Convert to fraction form
    24,499.90/36,728.28 = 9,719.20/x
  3. Step 3: Cross multiply
    24,499.90x = 36,728.28 × 9,719.20
  4. Step 4: Simplify right side
    24,499.90x = 356,969,498.98
  5. Step 5: Solve for x
    x = 356,969,498.98/24,499.90
  6. Step 6: Final answer
    x = 14,570.24

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1.5x scale

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.