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Finding the Fourth Proportional to 24,423.40, 36,612.90 and 8,830

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Solution

The fourth proportional to 24,423.40, 36,612.90 and 8,830 is: 13,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,423.40 : 36,612.90 = 8,830 : x
  2. Step 2: Convert to fraction form
    24,423.40/36,612.90 = 8,830/x
  3. Step 3: Cross multiply
    24,423.40x = 36,612.90 × 8,830
  4. Step 4: Simplify right side
    24,423.40x = 323,291,907
  5. Step 5: Solve for x
    x = 323,291,907/24,423.40
  6. Step 6: Final answer
    x = 13,236.97

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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.