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Finding the Fourth Proportional to 24,253.39, 36,389 and 10,216.99

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Solution

The fourth proportional to 24,253.39, 36,389 and 10,216.99 is: 15,329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,253.39 : 36,389 = 10,216.99 : x
  2. Step 2: Convert to fraction form
    24,253.39/36,389 = 10,216.99/x
  3. Step 3: Cross multiply
    24,253.39x = 36,389 × 10,216.99
  4. Step 4: Simplify right side
    24,253.39x = 371,786,049.11
  5. Step 5: Solve for x
    x = 371,786,049.11/24,253.39
  6. Step 6: Final answer
    x = 15,329.24

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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.