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Finding the Fourth Proportional to 21,934.08, 32,902.88 and 7,142.64

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Solution

The fourth proportional to 21,934.08, 32,902.88 and 7,142.64 is: 10,714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,934.08 : 32,902.88 = 7,142.64 : x
  2. Step 2: Convert to fraction form
    21,934.08/32,902.88 = 7,142.64/x
  3. Step 3: Cross multiply
    21,934.08x = 32,902.88 × 7,142.64
  4. Step 4: Simplify right side
    21,934.08x = 235,013,426.80
  5. Step 5: Solve for x
    x = 235,013,426.80/21,934.08
  6. Step 6: Final answer
    x = 10,714.53

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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.