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Finding the Fourth Proportional to 30,591, 42,214.98 and 17,162.16

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Solution

The fourth proportional to 30,591, 42,214.98 and 17,162.16 is: 23,683.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,591 : 42,214.98 = 17,162.16 : x
  2. Step 2: Convert to fraction form
    30,591/42,214.98 = 17,162.16/x
  3. Step 3: Cross multiply
    30,591x = 42,214.98 × 17,162.16
  4. Step 4: Simplify right side
    30,591x = 724,500,241.16
  5. Step 5: Solve for x
    x = 724,500,241.16/30,591
  6. Step 6: Final answer
    x = 23,683.44

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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.