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Finding the Fourth Proportional to 17,964.09, 24,788.85 and 10,408

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Solution

The fourth proportional to 17,964.09, 24,788.85 and 10,408 is: 14,362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,964.09 : 24,788.85 = 10,408 : x
  2. Step 2: Convert to fraction form
    17,964.09/24,788.85 = 10,408/x
  3. Step 3: Cross multiply
    17,964.09x = 24,788.85 × 10,408
  4. Step 4: Simplify right side
    17,964.09x = 258,002,350.80
  5. Step 5: Solve for x
    x = 258,002,350.80/17,964.09
  6. Step 6: Final answer
    x = 14,362.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.