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Finding the Fourth Proportional to 17,788.00, 24,519.17 and 14,005.17

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Solution

The fourth proportional to 17,788.00, 24,519.17 and 14,005.17 is: 19,304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,788.00 : 24,519.17 = 14,005.17 : x
  2. Step 2: Convert to fraction form
    17,788.00/24,519.17 = 14,005.17/x
  3. Step 3: Cross multiply
    17,788.00x = 24,519.17 × 14,005.17
  4. Step 4: Simplify right side
    17,788.00x = 343,395,260.38
  5. Step 5: Solve for x
    x = 343,395,260.38/17,788.00
  6. Step 6: Final answer
    x = 19,304.88

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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.