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Finding the Fourth Proportional to 30,969.40, 42,737.70 and 16,822.12

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Solution

The fourth proportional to 30,969.40, 42,737.70 and 16,822.12 is: 23,214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.40 : 42,737.70 = 16,822.12 : x
  2. Step 2: Convert to fraction form
    30,969.40/42,737.70 = 16,822.12/x
  3. Step 3: Cross multiply
    30,969.40x = 42,737.70 × 16,822.12
  4. Step 4: Simplify right side
    30,969.40x = 718,938,717.92
  5. Step 5: Solve for x
    x = 718,938,717.92/30,969.40
  6. Step 6: Final answer
    x = 23,214.49

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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.