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Finding the Fourth Proportional to 26,779.28, 36,932.18 and 19,275

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Solution

The fourth proportional to 26,779.28, 36,932.18 and 19,275 is: 26,582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,779.28 : 36,932.18 = 19,275 : x
  2. Step 2: Convert to fraction form
    26,779.28/36,932.18 = 19,275/x
  3. Step 3: Cross multiply
    26,779.28x = 36,932.18 × 19,275
  4. Step 4: Simplify right side
    26,779.28x = 711,867,769.50
  5. Step 5: Solve for x
    x = 711,867,769.50/26,779.28
  6. Step 6: Final answer
    x = 26,582.78

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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.