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Finding the Fourth Proportional to 30,884.29, 42,620.46 and 16,737.13

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Solution

The fourth proportional to 30,884.29, 42,620.46 and 16,737.13 is: 23,097.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,884.29 : 42,620.46 = 16,737.13 : x
  2. Step 2: Convert to fraction form
    30,884.29/42,620.46 = 16,737.13/x
  3. Step 3: Cross multiply
    30,884.29x = 42,620.46 × 16,737.13
  4. Step 4: Simplify right side
    30,884.29x = 713,344,179.68
  5. Step 5: Solve for x
    x = 713,344,179.68/30,884.29
  6. Step 6: Final answer
    x = 23,097.32

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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.