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Finding the Fourth Proportional to 11,407.40, 17,087.25 and 9,174.15

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Solution

The fourth proportional to 11,407.40, 17,087.25 and 9,174.15 is: 13,742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.40 : 17,087.25 = 9,174.15 : x
  2. Step 2: Convert to fraction form
    11,407.40/17,087.25 = 9,174.15/x
  3. Step 3: Cross multiply
    11,407.40x = 17,087.25 × 9,174.15
  4. Step 4: Simplify right side
    11,407.40x = 156,760,994.59
  5. Step 5: Solve for x
    x = 156,760,994.59/11,407.40
  6. Step 6: Final answer
    x = 13,742.05

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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.