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Finding the Fourth Proportional to 22,431.42, 33,647.04 and 8,392.50

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Solution

The fourth proportional to 22,431.42, 33,647.04 and 8,392.50 is: 12,588.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431.42 : 33,647.04 = 8,392.50 : x
  2. Step 2: Convert to fraction form
    22,431.42/33,647.04 = 8,392.50/x
  3. Step 3: Cross multiply
    22,431.42x = 33,647.04 × 8,392.50
  4. Step 4: Simplify right side
    22,431.42x = 282,382,783.20
  5. Step 5: Solve for x
    x = 282,382,783.20/22,431.42
  6. Step 6: Final answer
    x = 12,588.72

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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.