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Finding the Fourth Proportional to 23,619.50, 32,594.94 and 12,864.39

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Solution

The fourth proportional to 23,619.50, 32,594.94 and 12,864.39 is: 17,752.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,619.50 : 32,594.94 = 12,864.39 : x
  2. Step 2: Convert to fraction form
    23,619.50/32,594.94 = 12,864.39/x
  3. Step 3: Cross multiply
    23,619.50x = 32,594.94 × 12,864.39
  4. Step 4: Simplify right side
    23,619.50x = 419,314,020.19
  5. Step 5: Solve for x
    x = 419,314,020.19/23,619.50
  6. Step 6: Final answer
    x = 17,752.87

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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.