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Finding the Fourth Proportional to 12,923.82, 17,841.64 and 8,697.10

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Solution

The fourth proportional to 12,923.82, 17,841.64 and 8,697.10 is: 12,006.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923.82 : 17,841.64 = 8,697.10 : x
  2. Step 2: Convert to fraction form
    12,923.82/17,841.64 = 8,697.10/x
  3. Step 3: Cross multiply
    12,923.82x = 17,841.64 × 8,697.10
  4. Step 4: Simplify right side
    12,923.82x = 155,170,560.42
  5. Step 5: Solve for x
    x = 155,170,560.42/12,923.82
  6. Step 6: Final answer
    x = 12,006.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.