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Finding the Fourth Proportional to 30,998.34, 42,778.17 and 16,851.20

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Solution

The fourth proportional to 30,998.34, 42,778.17 and 16,851.20 is: 23,254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998.34 : 42,778.17 = 16,851.20 : x
  2. Step 2: Convert to fraction form
    30,998.34/42,778.17 = 16,851.20/x
  3. Step 3: Cross multiply
    30,998.34x = 42,778.17 × 16,851.20
  4. Step 4: Simplify right side
    30,998.34x = 720,863,284.41
  5. Step 5: Solve for x
    x = 720,863,284.41/30,998.34
  6. Step 6: Final answer
    x = 23,254.90

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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.