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Finding the Fourth Proportional to 12,835.34, 17,711.48 and 7,169.18

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Solution

The fourth proportional to 12,835.34, 17,711.48 and 7,169.18 is: 9,892.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.34 : 17,711.48 = 7,169.18 : x
  2. Step 2: Convert to fraction form
    12,835.34/17,711.48 = 7,169.18/x
  3. Step 3: Cross multiply
    12,835.34x = 17,711.48 × 7,169.18
  4. Step 4: Simplify right side
    12,835.34x = 126,976,788.19
  5. Step 5: Solve for x
    x = 126,976,788.19/12,835.34
  6. Step 6: Final answer
    x = 9,892.75

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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.