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Finding the Fourth Proportional to 18,282.40, 27,417.20 and 9,514.40

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Solution

The fourth proportional to 18,282.40, 27,417.20 and 9,514.40 is: 14,268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,282.40 : 27,417.20 = 9,514.40 : x
  2. Step 2: Convert to fraction form
    18,282.40/27,417.20 = 9,514.40/x
  3. Step 3: Cross multiply
    18,282.40x = 27,417.20 × 9,514.40
  4. Step 4: Simplify right side
    18,282.40x = 260,858,207.68
  5. Step 5: Solve for x
    x = 260,858,207.68/18,282.40
  6. Step 6: Final answer
    x = 14,268.27

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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.