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Finding the Fourth Proportional to 22,682.84, 31,294.03 and 13,727.08

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Solution

The fourth proportional to 22,682.84, 31,294.03 and 13,727.08 is: 18,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.84 : 31,294.03 = 13,727.08 : x
  2. Step 2: Convert to fraction form
    22,682.84/31,294.03 = 13,727.08/x
  3. Step 3: Cross multiply
    22,682.84x = 31,294.03 × 13,727.08
  4. Step 4: Simplify right side
    22,682.84x = 429,575,428.23
  5. Step 5: Solve for x
    x = 429,575,428.23/22,682.84
  6. Step 6: Final answer
    x = 18,938.34

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Why These Related Problems?

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