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Finding the Fourth Proportional to 11,967.51, 16,517.14 and 9,129.53

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Solution

The fourth proportional to 11,967.51, 16,517.14 and 9,129.53 is: 12,600.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.51 : 16,517.14 = 9,129.53 : x
  2. Step 2: Convert to fraction form
    11,967.51/16,517.14 = 9,129.53/x
  3. Step 3: Cross multiply
    11,967.51x = 16,517.14 × 9,129.53
  4. Step 4: Simplify right side
    11,967.51x = 150,793,720.25
  5. Step 5: Solve for x
    x = 150,793,720.25/11,967.51
  6. Step 6: Final answer
    x = 12,600.25

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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.