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Finding the Fourth Proportional to 24,478.56, 36,719.64 and 6,949.80

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Solution

The fourth proportional to 24,478.56, 36,719.64 and 6,949.80 is: 10,425.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,478.56 : 36,719.64 = 6,949.80 : x
  2. Step 2: Convert to fraction form
    24,478.56/36,719.64 = 6,949.80/x
  3. Step 3: Cross multiply
    24,478.56x = 36,719.64 × 6,949.80
  4. Step 4: Simplify right side
    24,478.56x = 255,194,154.07
  5. Step 5: Solve for x
    x = 255,194,154.07/24,478.56
  6. Step 6: Final answer
    x = 10,425.21

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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.