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Finding the Fourth Proportional to 24,000.24, 33,124 and 14,567

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Solution

The fourth proportional to 24,000.24, 33,124 and 14,567 is: 20,104.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,000.24 : 33,124 = 14,567 : x
  2. Step 2: Convert to fraction form
    24,000.24/33,124 = 14,567/x
  3. Step 3: Cross multiply
    24,000.24x = 33,124 × 14,567
  4. Step 4: Simplify right side
    24,000.24x = 482,517,308
  5. Step 5: Solve for x
    x = 482,517,308/24,000.24
  6. Step 6: Final answer
    x = 20,104.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.