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Finding the Fourth Proportional to 15,647.28, 23,471.28 and 6,288.24

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Solution

The fourth proportional to 15,647.28, 23,471.28 and 6,288.24 is: 9,432.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,647.28 : 23,471.28 = 6,288.24 : x
  2. Step 2: Convert to fraction form
    15,647.28/23,471.28 = 6,288.24/x
  3. Step 3: Cross multiply
    15,647.28x = 23,471.28 × 6,288.24
  4. Step 4: Simplify right side
    15,647.28x = 147,593,041.75
  5. Step 5: Solve for x
    x = 147,593,041.75/15,647.28
  6. Step 6: Final answer
    x = 9,432.50

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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.