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Finding the Fourth Proportional to 24,310.76, 36,470.24 and 7,670.42

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Solution

The fourth proportional to 24,310.76, 36,470.24 and 7,670.42 is: 11,506.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,310.76 : 36,470.24 = 7,670.42 : x
  2. Step 2: Convert to fraction form
    24,310.76/36,470.24 = 7,670.42/x
  3. Step 3: Cross multiply
    24,310.76x = 36,470.24 × 7,670.42
  4. Step 4: Simplify right side
    24,310.76x = 279,742,003.12
  5. Step 5: Solve for x
    x = 279,742,003.12/24,310.76
  6. Step 6: Final answer
    x = 11,506.92

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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.