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Finding the Fourth Proportional to 10,746.26, 16,122.89 and 9,009.42

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Solution

The fourth proportional to 10,746.26, 16,122.89 and 9,009.42 is: 13,517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746.26 : 16,122.89 = 9,009.42 : x
  2. Step 2: Convert to fraction form
    10,746.26/16,122.89 = 9,009.42/x
  3. Step 3: Cross multiply
    10,746.26x = 16,122.89 × 9,009.42
  4. Step 4: Simplify right side
    10,746.26x = 145,257,842.58
  5. Step 5: Solve for x
    x = 145,257,842.58/10,746.26
  6. Step 6: Final answer
    x = 13,517.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.