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Finding the Fourth Proportional to 30,729.66, 42,407.67 and 17,301.36

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Solution

The fourth proportional to 30,729.66, 42,407.67 and 17,301.36 is: 23,876.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,729.66 : 42,407.67 = 17,301.36 : x
  2. Step 2: Convert to fraction form
    30,729.66/42,407.67 = 17,301.36/x
  3. Step 3: Cross multiply
    30,729.66x = 42,407.67 × 17,301.36
  4. Step 4: Simplify right side
    30,729.66x = 733,710,365.43
  5. Step 5: Solve for x
    x = 733,710,365.43/30,729.66
  6. Step 6: Final answer
    x = 23,876.29

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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.