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Finding the Fourth Proportional to 15,778.24, 23,647.89 and 8,752.30

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Solution

The fourth proportional to 15,778.24, 23,647.89 and 8,752.30 is: 13,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.24 : 23,647.89 = 8,752.30 : x
  2. Step 2: Convert to fraction form
    15,778.24/23,647.89 = 8,752.30/x
  3. Step 3: Cross multiply
    15,778.24x = 23,647.89 × 8,752.30
  4. Step 4: Simplify right side
    15,778.24x = 206,973,427.65
  5. Step 5: Solve for x
    x = 206,973,427.65/15,778.24
  6. Step 6: Final answer
    x = 13,117.65

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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.