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Finding the Fourth Proportional to 24,141.98, 36,200.58 and 10,098.20

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Solution

The fourth proportional to 24,141.98, 36,200.58 and 10,098.20 is: 15,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,141.98 : 36,200.58 = 10,098.20 : x
  2. Step 2: Convert to fraction form
    24,141.98/36,200.58 = 10,098.20/x
  3. Step 3: Cross multiply
    24,141.98x = 36,200.58 × 10,098.20
  4. Step 4: Simplify right side
    24,141.98x = 365,560,696.96
  5. Step 5: Solve for x
    x = 365,560,696.96/24,141.98
  6. Step 6: Final answer
    x = 15,142.12

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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.