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Finding the Fourth Proportional to 23,382.81, 32,269.59 and 12,772.62

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Solution

The fourth proportional to 23,382.81, 32,269.59 and 12,772.62 is: 17,626.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,382.81 : 32,269.59 = 12,772.62 : x
  2. Step 2: Convert to fraction form
    23,382.81/32,269.59 = 12,772.62/x
  3. Step 3: Cross multiply
    23,382.81x = 32,269.59 × 12,772.62
  4. Step 4: Simplify right side
    23,382.81x = 412,167,210.63
  5. Step 5: Solve for x
    x = 412,167,210.63/23,382.81
  6. Step 6: Final answer
    x = 17,626.93

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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.