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Finding the Fourth Proportional to 24,894.42, 37,340.91 and 10,099.50

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Solution

The fourth proportional to 24,894.42, 37,340.91 and 10,099.50 is: 15,148.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,894.42 : 37,340.91 = 10,099.50 : x
  2. Step 2: Convert to fraction form
    24,894.42/37,340.91 = 10,099.50/x
  3. Step 3: Cross multiply
    24,894.42x = 37,340.91 × 10,099.50
  4. Step 4: Simplify right side
    24,894.42x = 377,124,520.55
  5. Step 5: Solve for x
    x = 377,124,520.55/24,894.42
  6. Step 6: Final answer
    x = 15,148.96

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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.