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Finding the Fourth Proportional to 30,869.69, 42,600.38 and 16,722.54

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Solution

The fourth proportional to 30,869.69, 42,600.38 and 16,722.54 is: 23,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,869.69 : 42,600.38 = 16,722.54 : x
  2. Step 2: Convert to fraction form
    30,869.69/42,600.38 = 16,722.54/x
  3. Step 3: Cross multiply
    30,869.69x = 42,600.38 × 16,722.54
  4. Step 4: Simplify right side
    30,869.69x = 712,386,474.95
  5. Step 5: Solve for x
    x = 712,386,474.95/30,869.69
  6. Step 6: Final answer
    x = 23,077.22

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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.