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Finding the Fourth Proportional to 30,969.18, 42,737.68 and 16,822.02

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Solution

The fourth proportional to 30,969.18, 42,737.68 and 16,822.02 is: 23,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.18 : 42,737.68 = 16,822.02 : x
  2. Step 2: Convert to fraction form
    30,969.18/42,737.68 = 16,822.02/x
  3. Step 3: Cross multiply
    30,969.18x = 42,737.68 × 16,822.02
  4. Step 4: Simplify right side
    30,969.18x = 718,934,107.71
  5. Step 5: Solve for x
    x = 718,934,107.71/30,969.18
  6. Step 6: Final answer
    x = 23,214.50

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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.