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Finding the Fourth Proportional to 15,165.23, 22,759.38 and 7,768.98

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Solution

The fourth proportional to 15,165.23, 22,759.38 and 7,768.98 is: 11,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,165.23 : 22,759.38 = 7,768.98 : x
  2. Step 2: Convert to fraction form
    15,165.23/22,759.38 = 7,768.98/x
  3. Step 3: Cross multiply
    15,165.23x = 22,759.38 × 7,768.98
  4. Step 4: Simplify right side
    15,165.23x = 176,817,168.03
  5. Step 5: Solve for x
    x = 176,817,168.03/15,165.23
  6. Step 6: Final answer
    x = 11,659.38

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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.