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Finding the Fourth Proportional to 24,140.98, 36,199.08 and 10,097.20

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Solution

The fourth proportional to 24,140.98, 36,199.08 and 10,097.20 is: 15,140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,140.98 : 36,199.08 = 10,097.20 : x
  2. Step 2: Convert to fraction form
    24,140.98/36,199.08 = 10,097.20/x
  3. Step 3: Cross multiply
    24,140.98x = 36,199.08 × 10,097.20
  4. Step 4: Simplify right side
    24,140.98x = 365,509,350.58
  5. Step 5: Solve for x
    x = 365,509,350.58/24,140.98
  6. Step 6: Final answer
    x = 15,140.62

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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.