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Finding the Fourth Proportional to 23,228.80, 32,055 and 13,158.17

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Solution

The fourth proportional to 23,228.80, 32,055 and 13,158.17 is: 18,157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,228.80 : 32,055 = 13,158.17 : x
  2. Step 2: Convert to fraction form
    23,228.80/32,055 = 13,158.17/x
  3. Step 3: Cross multiply
    23,228.80x = 32,055 × 13,158.17
  4. Step 4: Simplify right side
    23,228.80x = 421,785,139.35
  5. Step 5: Solve for x
    x = 421,785,139.35/23,228.80
  6. Step 6: Final answer
    x = 18,157.85

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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.