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Finding the Fourth Proportional to 27,800.36, 41,700.68 and 7,023.88

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Solution

The fourth proportional to 27,800.36, 41,700.68 and 7,023.88 is: 10,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,800.36 : 41,700.68 = 7,023.88 : x
  2. Step 2: Convert to fraction form
    27,800.36/41,700.68 = 7,023.88/x
  3. Step 3: Cross multiply
    27,800.36x = 41,700.68 × 7,023.88
  4. Step 4: Simplify right side
    27,800.36x = 292,900,572.24
  5. Step 5: Solve for x
    x = 292,900,572.24/27,800.36
  6. Step 6: Final answer
    x = 10,535.86

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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.