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Finding the Fourth Proportional to 22,885.13, 34,326.56 and 13,402.78

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Solution

The fourth proportional to 22,885.13, 34,326.56 and 13,402.78 is: 20,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,885.13 : 34,326.56 = 13,402.78 : x
  2. Step 2: Convert to fraction form
    22,885.13/34,326.56 = 13,402.78/x
  3. Step 3: Cross multiply
    22,885.13x = 34,326.56 × 13,402.78
  4. Step 4: Simplify right side
    22,885.13x = 460,071,290.10
  5. Step 5: Solve for x
    x = 460,071,290.10/22,885.13
  6. Step 6: Final answer
    x = 20,103.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.