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Finding the Fourth Proportional to 27,826.86, 38,406.86 and 25,585.19

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Solution

The fourth proportional to 27,826.86, 38,406.86 and 25,585.19 is: 35,312.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,826.86 : 38,406.86 = 25,585.19 : x
  2. Step 2: Convert to fraction form
    27,826.86/38,406.86 = 25,585.19/x
  3. Step 3: Cross multiply
    27,826.86x = 38,406.86 × 25,585.19
  4. Step 4: Simplify right side
    27,826.86x = 982,646,682.33
  5. Step 5: Solve for x
    x = 982,646,682.33/27,826.86
  6. Step 6: Final answer
    x = 35,312.88

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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.