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Finding the Fourth Proportional to 22,294.93, 30,770.14 and 13,799.78

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Solution

The fourth proportional to 22,294.93, 30,770.14 and 13,799.78 is: 19,045.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,294.93 : 30,770.14 = 13,799.78 : x
  2. Step 2: Convert to fraction form
    22,294.93/30,770.14 = 13,799.78/x
  3. Step 3: Cross multiply
    22,294.93x = 30,770.14 × 13,799.78
  4. Step 4: Simplify right side
    22,294.93x = 424,621,162.57
  5. Step 5: Solve for x
    x = 424,621,162.57/22,294.93
  6. Step 6: Final answer
    x = 19,045.64

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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.