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Finding the Fourth Proportional to 24,013.40, 36,024.32 and 8,214.71

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Solution

The fourth proportional to 24,013.40, 36,024.32 and 8,214.71 is: 12,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,013.40 : 36,024.32 = 8,214.71 : x
  2. Step 2: Convert to fraction form
    24,013.40/36,024.32 = 8,214.71/x
  3. Step 3: Cross multiply
    24,013.40x = 36,024.32 × 8,214.71
  4. Step 4: Simplify right side
    24,013.40x = 295,929,182.16
  5. Step 5: Solve for x
    x = 295,929,182.16/24,013.40
  6. Step 6: Final answer
    x = 12,323.50

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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.