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Finding the Fourth Proportional to 24,903.50, 37,356.23 and 8,265.02

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Solution

The fourth proportional to 24,903.50, 37,356.23 and 8,265.02 is: 12,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,903.50 : 37,356.23 = 8,265.02 : x
  2. Step 2: Convert to fraction form
    24,903.50/37,356.23 = 8,265.02/x
  3. Step 3: Cross multiply
    24,903.50x = 37,356.23 × 8,265.02
  4. Step 4: Simplify right side
    24,903.50x = 308,749,821.96
  5. Step 5: Solve for x
    x = 308,749,821.96/24,903.50
  6. Step 6: Final answer
    x = 12,397.85

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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.