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Finding the Fourth Proportional to 22,592.16, 33,893.60 and 7,801.20

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Solution

The fourth proportional to 22,592.16, 33,893.60 and 7,801.20 is: 11,703.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,592.16 : 33,893.60 = 7,801.20 : x
  2. Step 2: Convert to fraction form
    22,592.16/33,893.60 = 7,801.20/x
  3. Step 3: Cross multiply
    22,592.16x = 33,893.60 × 7,801.20
  4. Step 4: Simplify right side
    22,592.16x = 264,410,713.31
  5. Step 5: Solve for x
    x = 264,410,713.31/22,592.16
  6. Step 6: Final answer
    x = 11,703.65

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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.