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Finding the Fourth Proportional to 22,984.53, 31,713.09 and 13,419

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Solution

The fourth proportional to 22,984.53, 31,713.09 and 13,419 is: 18,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984.53 : 31,713.09 = 13,419 : x
  2. Step 2: Convert to fraction form
    22,984.53/31,713.09 = 13,419/x
  3. Step 3: Cross multiply
    22,984.53x = 31,713.09 × 13,419
  4. Step 4: Simplify right side
    22,984.53x = 425,557,954.71
  5. Step 5: Solve for x
    x = 425,557,954.71/22,984.53
  6. Step 6: Final answer
    x = 18,514.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.