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Finding the Fourth Proportional to 15,535.65, 23,315.78 and 6,776.72

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Solution

The fourth proportional to 15,535.65, 23,315.78 and 6,776.72 is: 10,170.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,535.65 : 23,315.78 = 6,776.72 : x
  2. Step 2: Convert to fraction form
    15,535.65/23,315.78 = 6,776.72/x
  3. Step 3: Cross multiply
    15,535.65x = 23,315.78 × 6,776.72
  4. Step 4: Simplify right side
    15,535.65x = 158,004,500.44
  5. Step 5: Solve for x
    x = 158,004,500.44/15,535.65
  6. Step 6: Final answer
    x = 10,170.44

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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.