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Finding the Fourth Proportional to 18,180.24, 27,281.88 and 9,415.14

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Solution

The fourth proportional to 18,180.24, 27,281.88 and 9,415.14 is: 14,128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,180.24 : 27,281.88 = 9,415.14 : x
  2. Step 2: Convert to fraction form
    18,180.24/27,281.88 = 9,415.14/x
  3. Step 3: Cross multiply
    18,180.24x = 27,281.88 × 9,415.14
  4. Step 4: Simplify right side
    18,180.24x = 256,862,719.66
  5. Step 5: Solve for x
    x = 256,862,719.66/18,180.24
  6. Step 6: Final answer
    x = 14,128.68

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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.