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Finding the Fourth Proportional to 24,017.50, 36,027.28 and 7,378.20

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Solution

The fourth proportional to 24,017.50, 36,027.28 and 7,378.20 is: 11,067.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,017.50 : 36,027.28 = 7,378.20 : x
  2. Step 2: Convert to fraction form
    24,017.50/36,027.28 = 7,378.20/x
  3. Step 3: Cross multiply
    24,017.50x = 36,027.28 × 7,378.20
  4. Step 4: Simplify right side
    24,017.50x = 265,816,477.30
  5. Step 5: Solve for x
    x = 265,816,477.30/24,017.50
  6. Step 6: Final answer
    x = 11,067.62

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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.