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Finding the Fourth Proportional to 17,648.25, 24,354.97 and 9,690.50

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Solution

The fourth proportional to 17,648.25, 24,354.97 and 9,690.50 is: 13,373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.25 : 24,354.97 = 9,690.50 : x
  2. Step 2: Convert to fraction form
    17,648.25/24,354.97 = 9,690.50/x
  3. Step 3: Cross multiply
    17,648.25x = 24,354.97 × 9,690.50
  4. Step 4: Simplify right side
    17,648.25x = 236,011,836.79
  5. Step 5: Solve for x
    x = 236,011,836.79/17,648.25
  6. Step 6: Final answer
    x = 13,373.11

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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.