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Finding the Fourth Proportional to 24,993.76, 37,491.12 and 6,526.24

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Solution

The fourth proportional to 24,993.76, 37,491.12 and 6,526.24 is: 9,789.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,993.76 : 37,491.12 = 6,526.24 : x
  2. Step 2: Convert to fraction form
    24,993.76/37,491.12 = 6,526.24/x
  3. Step 3: Cross multiply
    24,993.76x = 37,491.12 × 6,526.24
  4. Step 4: Simplify right side
    24,993.76x = 244,676,046.99
  5. Step 5: Solve for x
    x = 244,676,046.99/24,993.76
  6. Step 6: Final answer
    x = 9,789.49

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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.