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Finding the Fourth Proportional to 15,775.92, 23,644.08 and 8,362.08

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Solution

The fourth proportional to 15,775.92, 23,644.08 and 8,362.08 is: 12,532.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,775.92 : 23,644.08 = 8,362.08 : x
  2. Step 2: Convert to fraction form
    15,775.92/23,644.08 = 8,362.08/x
  3. Step 3: Cross multiply
    15,775.92x = 23,644.08 × 8,362.08
  4. Step 4: Simplify right side
    15,775.92x = 197,713,688.49
  5. Step 5: Solve for x
    x = 197,713,688.49/15,775.92
  6. Step 6: Final answer
    x = 12,532.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.