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Finding the Fourth Proportional to 28,419.44, 42,643.56 and 19,166

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Solution

The fourth proportional to 28,419.44, 42,643.56 and 19,166 is: 28,758.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,419.44 : 42,643.56 = 19,166 : x
  2. Step 2: Convert to fraction form
    28,419.44/42,643.56 = 19,166/x
  3. Step 3: Cross multiply
    28,419.44x = 42,643.56 × 19,166
  4. Step 4: Simplify right side
    28,419.44x = 817,306,470.96
  5. Step 5: Solve for x
    x = 817,306,470.96/28,419.44
  6. Step 6: Final answer
    x = 28,758.71

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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.