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Finding the Fourth Proportional to 24,093.61, 36,143.78 and 10,949.29

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Solution

The fourth proportional to 24,093.61, 36,143.78 and 10,949.29 is: 16,425.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,093.61 : 36,143.78 = 10,949.29 : x
  2. Step 2: Convert to fraction form
    24,093.61/36,143.78 = 10,949.29/x
  3. Step 3: Cross multiply
    24,093.61x = 36,143.78 × 10,949.29
  4. Step 4: Simplify right side
    24,093.61x = 395,748,674.17
  5. Step 5: Solve for x
    x = 395,748,674.17/24,093.61
  6. Step 6: Final answer
    x = 16,425.46

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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.