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Finding the Fourth Proportional to 23,227.65, 32,053.05 and 13,155.84

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Solution

The fourth proportional to 23,227.65, 32,053.05 and 13,155.84 is: 18,154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,227.65 : 32,053.05 = 13,155.84 : x
  2. Step 2: Convert to fraction form
    23,227.65/32,053.05 = 13,155.84/x
  3. Step 3: Cross multiply
    23,227.65x = 32,053.05 × 13,155.84
  4. Step 4: Simplify right side
    23,227.65x = 421,684,797.31
  5. Step 5: Solve for x
    x = 421,684,797.31/23,227.65
  6. Step 6: Final answer
    x = 18,154.43

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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.