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Finding the Fourth Proportional to 18,102.74, 27,154.14 and 7,567.00

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Solution

The fourth proportional to 18,102.74, 27,154.14 and 7,567.00 is: 11,350.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102.74 : 27,154.14 = 7,567.00 : x
  2. Step 2: Convert to fraction form
    18,102.74/27,154.14 = 7,567.00/x
  3. Step 3: Cross multiply
    18,102.74x = 27,154.14 × 7,567.00
  4. Step 4: Simplify right side
    18,102.74x = 205,475,309.49
  5. Step 5: Solve for x
    x = 205,475,309.49/18,102.74
  6. Step 6: Final answer
    x = 11,350.51

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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.