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Finding the Fourth Proportional to 24,518, 33,837.72 and 14,582

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Solution

The fourth proportional to 24,518, 33,837.72 and 14,582 is: 20,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,518 : 33,837.72 = 14,582 : x
  2. Step 2: Convert to fraction form
    24,518/33,837.72 = 14,582/x
  3. Step 3: Cross multiply
    24,518x = 33,837.72 × 14,582
  4. Step 4: Simplify right side
    24,518x = 493,421,633.04
  5. Step 5: Solve for x
    x = 493,421,633.04/24,518
  6. Step 6: Final answer
    x = 20,124.87

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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.