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Finding the Fourth Proportional to 27,832.98, 38,460.35 and 20,266.10

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Solution

The fourth proportional to 27,832.98, 38,460.35 and 20,266.10 is: 28,004.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.98 : 38,460.35 = 20,266.10 : x
  2. Step 2: Convert to fraction form
    27,832.98/38,460.35 = 20,266.10/x
  3. Step 3: Cross multiply
    27,832.98x = 38,460.35 × 20,266.10
  4. Step 4: Simplify right side
    27,832.98x = 779,441,301.72
  5. Step 5: Solve for x
    x = 779,441,301.72/27,832.98
  6. Step 6: Final answer
    x = 28,004.23

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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.