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Finding the Fourth Proportional to 17,648.01, 24,354.18 and 9,690.30

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Solution

The fourth proportional to 17,648.01, 24,354.18 and 9,690.30 is: 13,372.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.01 : 24,354.18 = 9,690.30 : x
  2. Step 2: Convert to fraction form
    17,648.01/24,354.18 = 9,690.30/x
  3. Step 3: Cross multiply
    17,648.01x = 24,354.18 × 9,690.30
  4. Step 4: Simplify right side
    17,648.01x = 235,999,310.45
  5. Step 5: Solve for x
    x = 235,999,310.45/17,648.01
  6. Step 6: Final answer
    x = 13,372.57

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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.