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Finding the Fourth Proportional to 14,856.40, 22,270.73 and 7,452.19

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Solution

The fourth proportional to 14,856.40, 22,270.73 and 7,452.19 is: 11,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,856.40 : 22,270.73 = 7,452.19 : x
  2. Step 2: Convert to fraction form
    14,856.40/22,270.73 = 7,452.19/x
  3. Step 3: Cross multiply
    14,856.40x = 22,270.73 × 7,452.19
  4. Step 4: Simplify right side
    14,856.40x = 165,965,711.40
  5. Step 5: Solve for x
    x = 165,965,711.40/14,856.40
  6. Step 6: Final answer
    x = 11,171.33

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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.