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Finding the Fourth Proportional to 30,656.80, 42,306.67 and 17,228.22

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Solution

The fourth proportional to 30,656.80, 42,306.67 and 17,228.22 is: 23,775.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,656.80 : 42,306.67 = 17,228.22 : x
  2. Step 2: Convert to fraction form
    30,656.80/42,306.67 = 17,228.22/x
  3. Step 3: Cross multiply
    30,656.80x = 42,306.67 × 17,228.22
  4. Step 4: Simplify right side
    30,656.80x = 728,868,618.23
  5. Step 5: Solve for x
    x = 728,868,618.23/30,656.80
  6. Step 6: Final answer
    x = 23,775.10

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