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Finding the Fourth Proportional to 16,382.40, 24,574.14 and 4,694.64

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Solution

The fourth proportional to 16,382.40, 24,574.14 and 4,694.64 is: 7,042.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.40 : 24,574.14 = 4,694.64 : x
  2. Step 2: Convert to fraction form
    16,382.40/24,574.14 = 4,694.64/x
  3. Step 3: Cross multiply
    16,382.40x = 24,574.14 × 4,694.64
  4. Step 4: Simplify right side
    16,382.40x = 115,366,740.61
  5. Step 5: Solve for x
    x = 115,366,740.61/16,382.40
  6. Step 6: Final answer
    x = 7,042.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.