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Finding the Fourth Proportional to 21,770.40, 30,049.92 and 17,302.08

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Solution

The fourth proportional to 21,770.40, 30,049.92 and 17,302.08 is: 23,882.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,770.40 : 30,049.92 = 17,302.08 : x
  2. Step 2: Convert to fraction form
    21,770.40/30,049.92 = 17,302.08/x
  3. Step 3: Cross multiply
    21,770.40x = 30,049.92 × 17,302.08
  4. Step 4: Simplify right side
    21,770.40x = 519,926,119.83
  5. Step 5: Solve for x
    x = 519,926,119.83/21,770.40
  6. Step 6: Final answer
    x = 23,882.25

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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.