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Finding the Fourth Proportional to 13,214.43, 19,797.14 and 9,458.46

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Solution

The fourth proportional to 13,214.43, 19,797.14 and 9,458.46 is: 14,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.43 : 19,797.14 = 9,458.46 : x
  2. Step 2: Convert to fraction form
    13,214.43/19,797.14 = 9,458.46/x
  3. Step 3: Cross multiply
    13,214.43x = 19,797.14 × 9,458.46
  4. Step 4: Simplify right side
    13,214.43x = 187,250,480.45
  5. Step 5: Solve for x
    x = 187,250,480.45/13,214.43
  6. Step 6: Final answer
    x = 14,170.15

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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.