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Finding the Fourth Proportional to 21,877.62, 32,809.52 and 7,083.12

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Solution

The fourth proportional to 21,877.62, 32,809.52 and 7,083.12 is: 10,622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,877.62 : 32,809.52 = 7,083.12 : x
  2. Step 2: Convert to fraction form
    21,877.62/32,809.52 = 7,083.12/x
  3. Step 3: Cross multiply
    21,877.62x = 32,809.52 × 7,083.12
  4. Step 4: Simplify right side
    21,877.62x = 232,393,767.30
  5. Step 5: Solve for x
    x = 232,393,767.30/21,877.62
  6. Step 6: Final answer
    x = 10,622.44

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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.