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Finding the Fourth Proportional to 24,336, 33,583.68 and 13,158

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Solution

The fourth proportional to 24,336, 33,583.68 and 13,158 is: 18,158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,336 : 33,583.68 = 13,158 : x
  2. Step 2: Convert to fraction form
    24,336/33,583.68 = 13,158/x
  3. Step 3: Cross multiply
    24,336x = 33,583.68 × 13,158
  4. Step 4: Simplify right side
    24,336x = 441,894,061.44
  5. Step 5: Solve for x
    x = 441,894,061.44/24,336
  6. Step 6: Final answer
    x = 18,158.04

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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.