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Finding the Fourth Proportional to 18,002.30, 24,842.41 and 10,448.04

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Solution

The fourth proportional to 18,002.30, 24,842.41 and 10,448.04 is: 14,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,002.30 : 24,842.41 = 10,448.04 : x
  2. Step 2: Convert to fraction form
    18,002.30/24,842.41 = 10,448.04/x
  3. Step 3: Cross multiply
    18,002.30x = 24,842.41 × 10,448.04
  4. Step 4: Simplify right side
    18,002.30x = 259,554,493.38
  5. Step 5: Solve for x
    x = 259,554,493.38/18,002.30
  6. Step 6: Final answer
    x = 14,417.85

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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.