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Finding the Fourth Proportional to 14,494.34, 21,735.14 and 7,478.33

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Solution

The fourth proportional to 14,494.34, 21,735.14 and 7,478.33 is: 11,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494.34 : 21,735.14 = 7,478.33 : x
  2. Step 2: Convert to fraction form
    14,494.34/21,735.14 = 7,478.33/x
  3. Step 3: Cross multiply
    14,494.34x = 21,735.14 × 7,478.33
  4. Step 4: Simplify right side
    14,494.34x = 162,542,403.45
  5. Step 5: Solve for x
    x = 162,542,403.45/14,494.34
  6. Step 6: Final answer
    x = 11,214.20

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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.