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Finding the Fourth Proportional to 30,954.40, 42,717.19 and 16,807.24

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Solution

The fourth proportional to 30,954.40, 42,717.19 and 16,807.24 is: 23,194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,954.40 : 42,717.19 = 16,807.24 : x
  2. Step 2: Convert to fraction form
    30,954.40/42,717.19 = 16,807.24/x
  3. Step 3: Cross multiply
    30,954.40x = 42,717.19 × 16,807.24
  4. Step 4: Simplify right side
    30,954.40x = 717,958,064.46
  5. Step 5: Solve for x
    x = 717,958,064.46/30,954.40
  6. Step 6: Final answer
    x = 23,194.06

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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.