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Finding the Fourth Proportional to 17,077.40, 25,637.70 and 9,186.20

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Solution

The fourth proportional to 17,077.40, 25,637.70 and 9,186.20 is: 13,790.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.40 : 25,637.70 = 9,186.20 : x
  2. Step 2: Convert to fraction form
    17,077.40/25,637.70 = 9,186.20/x
  3. Step 3: Cross multiply
    17,077.40x = 25,637.70 × 9,186.20
  4. Step 4: Simplify right side
    17,077.40x = 235,513,039.74
  5. Step 5: Solve for x
    x = 235,513,039.74/17,077.40
  6. Step 6: Final answer
    x = 13,790.92

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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.