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Finding the Fourth Proportional to 18,302.40, 27,424.80 and 9,524.16

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Solution

The fourth proportional to 18,302.40, 27,424.80 and 9,524.16 is: 14,271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,302.40 : 27,424.80 = 9,524.16 : x
  2. Step 2: Convert to fraction form
    18,302.40/27,424.80 = 9,524.16/x
  3. Step 3: Cross multiply
    18,302.40x = 27,424.80 × 9,524.16
  4. Step 4: Simplify right side
    18,302.40x = 261,198,183.17
  5. Step 5: Solve for x
    x = 261,198,183.17/18,302.40
  6. Step 6: Final answer
    x = 14,271.25

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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.