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Finding the Fourth Proportional to 15,646.05, 23,469.06 and 6,286.06

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Solution

The fourth proportional to 15,646.05, 23,469.06 and 6,286.06 is: 9,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646.05 : 23,469.06 = 6,286.06 : x
  2. Step 2: Convert to fraction form
    15,646.05/23,469.06 = 6,286.06/x
  3. Step 3: Cross multiply
    15,646.05x = 23,469.06 × 6,286.06
  4. Step 4: Simplify right side
    15,646.05x = 147,527,919.30
  5. Step 5: Solve for x
    x = 147,527,919.30/15,646.05
  6. Step 6: Final answer
    x = 9,429.08

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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.