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Finding the Fourth Proportional to 15,686.78, 23,530.19 and 6,678.56

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Solution

The fourth proportional to 15,686.78, 23,530.19 and 6,678.56 is: 10,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.78 : 23,530.19 = 6,678.56 : x
  2. Step 2: Convert to fraction form
    15,686.78/23,530.19 = 6,678.56/x
  3. Step 3: Cross multiply
    15,686.78x = 23,530.19 × 6,678.56
  4. Step 4: Simplify right side
    15,686.78x = 157,147,785.73
  5. Step 5: Solve for x
    x = 157,147,785.73/15,686.78
  6. Step 6: Final answer
    x = 10,017.85

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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.