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Finding the Fourth Proportional to 24,756.74, 37,135.10 and 9,967.76

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Solution

The fourth proportional to 24,756.74, 37,135.10 and 9,967.76 is: 14,951.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,756.74 : 37,135.10 = 9,967.76 : x
  2. Step 2: Convert to fraction form
    24,756.74/37,135.10 = 9,967.76/x
  3. Step 3: Cross multiply
    24,756.74x = 37,135.10 × 9,967.76
  4. Step 4: Simplify right side
    24,756.74x = 370,153,578.70
  5. Step 5: Solve for x
    x = 370,153,578.70/24,756.74
  6. Step 6: Final answer
    x = 14,951.63

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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.