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Finding the Fourth Proportional to 24,865.57, 37,294.71 and 8,222.50

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Solution

The fourth proportional to 24,865.57, 37,294.71 and 8,222.50 is: 12,332.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,865.57 : 37,294.71 = 8,222.50 : x
  2. Step 2: Convert to fraction form
    24,865.57/37,294.71 = 8,222.50/x
  3. Step 3: Cross multiply
    24,865.57x = 37,294.71 × 8,222.50
  4. Step 4: Simplify right side
    24,865.57x = 306,655,752.98
  5. Step 5: Solve for x
    x = 306,655,752.98/24,865.57
  6. Step 6: Final answer
    x = 12,332.54

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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.