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Finding the Fourth Proportional to 30,835.88, 42,551.96 and 17,223

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Solution

The fourth proportional to 30,835.88, 42,551.96 and 17,223 is: 23,766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,835.88 : 42,551.96 = 17,223 : x
  2. Step 2: Convert to fraction form
    30,835.88/42,551.96 = 17,223/x
  3. Step 3: Cross multiply
    30,835.88x = 42,551.96 × 17,223
  4. Step 4: Simplify right side
    30,835.88x = 732,872,407.08
  5. Step 5: Solve for x
    x = 732,872,407.08/30,835.88
  6. Step 6: Final answer
    x = 23,766.87

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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.