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Finding the Fourth Proportional to 24,062.84, 36,099.72 and 9,074.60

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Solution

The fourth proportional to 24,062.84, 36,099.72 and 9,074.60 is: 13,613.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,062.84 : 36,099.72 = 9,074.60 : x
  2. Step 2: Convert to fraction form
    24,062.84/36,099.72 = 9,074.60/x
  3. Step 3: Cross multiply
    24,062.84x = 36,099.72 × 9,074.60
  4. Step 4: Simplify right side
    24,062.84x = 327,590,338.61
  5. Step 5: Solve for x
    x = 327,590,338.61/24,062.84
  6. Step 6: Final answer
    x = 13,613.95

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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.