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Finding the Fourth Proportional to 27,215.40, 40,838.85 and 11,419.02

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Solution

The fourth proportional to 27,215.40, 40,838.85 and 11,419.02 is: 17,135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,215.40 : 40,838.85 = 11,419.02 : x
  2. Step 2: Convert to fraction form
    27,215.40/40,838.85 = 11,419.02/x
  3. Step 3: Cross multiply
    27,215.40x = 40,838.85 × 11,419.02
  4. Step 4: Simplify right side
    27,215.40x = 466,339,644.93
  5. Step 5: Solve for x
    x = 466,339,644.93/27,215.40
  6. Step 6: Final answer
    x = 17,135.14

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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.