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Finding the Fourth Proportional to 24,223.36, 36,334.04 and 8,432

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Solution

The fourth proportional to 24,223.36, 36,334.04 and 8,432 is: 12,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,223.36 : 36,334.04 = 8,432 : x
  2. Step 2: Convert to fraction form
    24,223.36/36,334.04 = 8,432/x
  3. Step 3: Cross multiply
    24,223.36x = 36,334.04 × 8,432
  4. Step 4: Simplify right side
    24,223.36x = 306,368,625.28
  5. Step 5: Solve for x
    x = 306,368,625.28/24,223.36
  6. Step 6: Final answer
    x = 12,647.65

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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.