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Finding the Fourth Proportional to 21,863.38, 32,801.98 and 7,823.08

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Solution

The fourth proportional to 21,863.38, 32,801.98 and 7,823.08 is: 11,737.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,863.38 : 32,801.98 = 7,823.08 : x
  2. Step 2: Convert to fraction form
    21,863.38/32,801.98 = 7,823.08/x
  3. Step 3: Cross multiply
    21,863.38x = 32,801.98 × 7,823.08
  4. Step 4: Simplify right side
    21,863.38x = 256,612,513.70
  5. Step 5: Solve for x
    x = 256,612,513.70/21,863.38
  6. Step 6: Final answer
    x = 11,737.09

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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.