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Finding the Fourth Proportional to 12,723.05, 17,557.99 and 7,686.57

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Solution

The fourth proportional to 12,723.05, 17,557.99 and 7,686.57 is: 10,607.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,723.05 : 17,557.99 = 7,686.57 : x
  2. Step 2: Convert to fraction form
    12,723.05/17,557.99 = 7,686.57/x
  3. Step 3: Cross multiply
    12,723.05x = 17,557.99 × 7,686.57
  4. Step 4: Simplify right side
    12,723.05x = 134,960,719.19
  5. Step 5: Solve for x
    x = 134,960,719.19/12,723.05
  6. Step 6: Final answer
    x = 10,607.58

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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.