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Finding the Fourth Proportional to 24,519.76, 36,773.15 and 6,746.20

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Solution

The fourth proportional to 24,519.76, 36,773.15 and 6,746.20 is: 10,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,519.76 : 36,773.15 = 6,746.20 : x
  2. Step 2: Convert to fraction form
    24,519.76/36,773.15 = 6,746.20/x
  3. Step 3: Cross multiply
    24,519.76x = 36,773.15 × 6,746.20
  4. Step 4: Simplify right side
    24,519.76x = 248,078,898.87
  5. Step 5: Solve for x
    x = 248,078,898.87/24,519.76
  6. Step 6: Final answer
    x = 10,117.51

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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.