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Finding the Fourth Proportional to 23,088.80, 34,633.20 and 19,200.80

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Solution

The fourth proportional to 23,088.80, 34,633.20 and 19,200.80 is: 28,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,088.80 : 34,633.20 = 19,200.80 : x
  2. Step 2: Convert to fraction form
    23,088.80/34,633.20 = 19,200.80/x
  3. Step 3: Cross multiply
    23,088.80x = 34,633.20 × 19,200.80
  4. Step 4: Simplify right side
    23,088.80x = 664,985,146.56
  5. Step 5: Solve for x
    x = 664,985,146.56/23,088.80
  6. Step 6: Final answer
    x = 28,801.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.