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Finding the Fourth Proportional to 27,206.40, 40,819.20 and 26,246.40

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Solution

The fourth proportional to 27,206.40, 40,819.20 and 26,246.40 is: 39,378.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,206.40 : 40,819.20 = 26,246.40 : x
  2. Step 2: Convert to fraction form
    27,206.40/40,819.20 = 26,246.40/x
  3. Step 3: Cross multiply
    27,206.40x = 40,819.20 × 26,246.40
  4. Step 4: Simplify right side
    27,206.40x = 1,071,357,050.88
  5. Step 5: Solve for x
    x = 1,071,357,050.88/27,206.40
  6. Step 6: Final answer
    x = 39,378.86

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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.