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Finding the Fourth Proportional to 29,922, 41,280.80 and 17,170.58

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Solution

The fourth proportional to 29,922, 41,280.80 and 17,170.58 is: 23,688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,922 : 41,280.80 = 17,170.58 : x
  2. Step 2: Convert to fraction form
    29,922/41,280.80 = 17,170.58/x
  3. Step 3: Cross multiply
    29,922x = 41,280.80 × 17,170.58
  4. Step 4: Simplify right side
    29,922x = 708,814,986.61
  5. Step 5: Solve for x
    x = 708,814,986.61/29,922
  6. Step 6: Final answer
    x = 23,688.76

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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.