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Finding the Fourth Proportional to 15,665.56, 23,506.68 and 6,906.64

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Solution

The fourth proportional to 15,665.56, 23,506.68 and 6,906.64 is: 10,363.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665.56 : 23,506.68 = 6,906.64 : x
  2. Step 2: Convert to fraction form
    15,665.56/23,506.68 = 6,906.64/x
  3. Step 3: Cross multiply
    15,665.56x = 23,506.68 × 6,906.64
  4. Step 4: Simplify right side
    15,665.56x = 162,352,176.36
  5. Step 5: Solve for x
    x = 162,352,176.36/15,665.56
  6. Step 6: Final answer
    x = 10,363.64

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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.