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Finding the Fourth Proportional to 21,902.25, 30,225.12 and 11,966.25

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Solution

The fourth proportional to 21,902.25, 30,225.12 and 11,966.25 is: 16,513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902.25 : 30,225.12 = 11,966.25 : x
  2. Step 2: Convert to fraction form
    21,902.25/30,225.12 = 11,966.25/x
  3. Step 3: Cross multiply
    21,902.25x = 30,225.12 × 11,966.25
  4. Step 4: Simplify right side
    21,902.25x = 361,681,342.20
  5. Step 5: Solve for x
    x = 361,681,342.20/21,902.25
  6. Step 6: Final answer
    x = 16,513.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.