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Finding the Fourth Proportional to 28,569.60, 42,796.80 and 18,144

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Solution

The fourth proportional to 28,569.60, 42,796.80 and 18,144 is: 27,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,569.60 : 42,796.80 = 18,144 : x
  2. Step 2: Convert to fraction form
    28,569.60/42,796.80 = 18,144/x
  3. Step 3: Cross multiply
    28,569.60x = 42,796.80 × 18,144
  4. Step 4: Simplify right side
    28,569.60x = 776,505,139.20
  5. Step 5: Solve for x
    x = 776,505,139.20/28,569.60
  6. Step 6: Final answer
    x = 27,179.42

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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.