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Finding the Fourth Proportional to 15,864.72, 23,765.34 and 7,552.80

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Solution

The fourth proportional to 15,864.72, 23,765.34 and 7,552.80 is: 11,314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,864.72 : 23,765.34 = 7,552.80 : x
  2. Step 2: Convert to fraction form
    15,864.72/23,765.34 = 7,552.80/x
  3. Step 3: Cross multiply
    15,864.72x = 23,765.34 × 7,552.80
  4. Step 4: Simplify right side
    15,864.72x = 179,494,859.95
  5. Step 5: Solve for x
    x = 179,494,859.95/15,864.72
  6. Step 6: Final answer
    x = 11,314.09

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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.