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Finding the Fourth Proportional to 18,214.52, 27,314.14 and 7,689.28

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Solution

The fourth proportional to 18,214.52, 27,314.14 and 7,689.28 is: 11,530.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214.52 : 27,314.14 = 7,689.28 : x
  2. Step 2: Convert to fraction form
    18,214.52/27,314.14 = 7,689.28/x
  3. Step 3: Cross multiply
    18,214.52x = 27,314.14 × 7,689.28
  4. Step 4: Simplify right side
    18,214.52x = 210,026,070.42
  5. Step 5: Solve for x
    x = 210,026,070.42/18,214.52
  6. Step 6: Final answer
    x = 11,530.69

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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.