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Finding the Fourth Proportional to 17,647.20, 24,340.50 and 11,353.50

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Solution

The fourth proportional to 17,647.20, 24,340.50 and 11,353.50 is: 15,659.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.20 : 24,340.50 = 11,353.50 : x
  2. Step 2: Convert to fraction form
    17,647.20/24,340.50 = 11,353.50/x
  3. Step 3: Cross multiply
    17,647.20x = 24,340.50 × 11,353.50
  4. Step 4: Simplify right side
    17,647.20x = 276,349,866.75
  5. Step 5: Solve for x
    x = 276,349,866.75/17,647.20
  6. Step 6: Final answer
    x = 15,659.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.