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Finding the Fourth Proportional to 17,647.74, 24,354.28 and 9,690

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Solution

The fourth proportional to 17,647.74, 24,354.28 and 9,690 is: 13,372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.74 : 24,354.28 = 9,690 : x
  2. Step 2: Convert to fraction form
    17,647.74/24,354.28 = 9,690/x
  3. Step 3: Cross multiply
    17,647.74x = 24,354.28 × 9,690
  4. Step 4: Simplify right side
    17,647.74x = 235,992,948.98
  5. Step 5: Solve for x
    x = 235,992,948.98/17,647.74
  6. Step 6: Final answer
    x = 13,372.42

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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.