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Finding the Fourth Proportional to 27,509.76, 41,281.92 and 13,478.40

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Solution

The fourth proportional to 27,509.76, 41,281.92 and 13,478.40 is: 20,226.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.76 : 41,281.92 = 13,478.40 : x
  2. Step 2: Convert to fraction form
    27,509.76/41,281.92 = 13,478.40/x
  3. Step 3: Cross multiply
    27,509.76x = 41,281.92 × 13,478.40
  4. Step 4: Simplify right side
    27,509.76x = 556,414,230.53
  5. Step 5: Solve for x
    x = 556,414,230.53/27,509.76
  6. Step 6: Final answer
    x = 20,226.07

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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.