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Finding the Fourth Proportional to 18,008, 24,850.98 and 10,049.78

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Solution

The fourth proportional to 18,008, 24,850.98 and 10,049.78 is: 13,868.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,008 : 24,850.98 = 10,049.78 : x
  2. Step 2: Convert to fraction form
    18,008/24,850.98 = 10,049.78/x
  3. Step 3: Cross multiply
    18,008x = 24,850.98 × 10,049.78
  4. Step 4: Simplify right side
    18,008x = 249,746,881.78
  5. Step 5: Solve for x
    x = 249,746,881.78/18,008
  6. Step 6: Final answer
    x = 13,868.66

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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.