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Finding the Fourth Proportional to 23,562.96, 32,517.12 and 12,807.83

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Solution

The fourth proportional to 23,562.96, 32,517.12 and 12,807.83 is: 17,674.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,562.96 : 32,517.12 = 12,807.83 : x
  2. Step 2: Convert to fraction form
    23,562.96/32,517.12 = 12,807.83/x
  3. Step 3: Cross multiply
    23,562.96x = 32,517.12 × 12,807.83
  4. Step 4: Simplify right side
    23,562.96x = 416,473,559.07
  5. Step 5: Solve for x
    x = 416,473,559.07/23,562.96
  6. Step 6: Final answer
    x = 17,674.93

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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.