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Finding the Fourth Proportional to 18,277.38, 27,419.85 and 9,509.94

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Solution

The fourth proportional to 18,277.38, 27,419.85 and 9,509.94 is: 14,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,277.38 : 27,419.85 = 9,509.94 : x
  2. Step 2: Convert to fraction form
    18,277.38/27,419.85 = 9,509.94/x
  3. Step 3: Cross multiply
    18,277.38x = 27,419.85 × 9,509.94
  4. Step 4: Simplify right side
    18,277.38x = 260,761,128.31
  5. Step 5: Solve for x
    x = 260,761,128.31/18,277.38
  6. Step 6: Final answer
    x = 14,266.88

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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.