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Finding the Fourth Proportional to 18,214.40, 27,320 and 5,065.92

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Solution

The fourth proportional to 18,214.40, 27,320 and 5,065.92 is: 7,598.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214.40 : 27,320 = 5,065.92 : x
  2. Step 2: Convert to fraction form
    18,214.40/27,320 = 5,065.92/x
  3. Step 3: Cross multiply
    18,214.40x = 27,320 × 5,065.92
  4. Step 4: Simplify right side
    18,214.40x = 138,400,934.40
  5. Step 5: Solve for x
    x = 138,400,934.40/18,214.40
  6. Step 6: Final answer
    x = 7,598.43

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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.