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Finding the Fourth Proportional to 15,670.80, 23,507.82 and 10,786.50

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Solution

The fourth proportional to 15,670.80, 23,507.82 and 10,786.50 is: 16,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,670.80 : 23,507.82 = 10,786.50 : x
  2. Step 2: Convert to fraction form
    15,670.80/23,507.82 = 10,786.50/x
  3. Step 3: Cross multiply
    15,670.80x = 23,507.82 × 10,786.50
  4. Step 4: Simplify right side
    15,670.80x = 253,567,100.43
  5. Step 5: Solve for x
    x = 253,567,100.43/15,670.80
  6. Step 6: Final answer
    x = 16,180.87

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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.