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Finding the Fourth Proportional to 18,309, 27,462.12 and 5,828.52

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Solution

The fourth proportional to 18,309, 27,462.12 and 5,828.52 is: 8,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,309 : 27,462.12 = 5,828.52 : x
  2. Step 2: Convert to fraction form
    18,309/27,462.12 = 5,828.52/x
  3. Step 3: Cross multiply
    18,309x = 27,462.12 × 5,828.52
  4. Step 4: Simplify right side
    18,309x = 160,063,515.66
  5. Step 5: Solve for x
    x = 160,063,515.66/18,309
  6. Step 6: Final answer
    x = 8,742.34

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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.