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Finding the Fourth Proportional to 30,998.70, 42,776.10 and 16,851.24

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Solution

The fourth proportional to 30,998.70, 42,776.10 and 16,851.24 is: 23,253.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998.70 : 42,776.10 = 16,851.24 : x
  2. Step 2: Convert to fraction form
    30,998.70/42,776.10 = 16,851.24/x
  3. Step 3: Cross multiply
    30,998.70x = 42,776.10 × 16,851.24
  4. Step 4: Simplify right side
    30,998.70x = 720,830,327.36
  5. Step 5: Solve for x
    x = 720,830,327.36/30,998.70
  6. Step 6: Final answer
    x = 23,253.57

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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.