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Finding the Fourth Proportional to 14,746.26, 22,067.42 and 9,202.22

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Solution

The fourth proportional to 14,746.26, 22,067.42 and 9,202.22 is: 13,770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,746.26 : 22,067.42 = 9,202.22 : x
  2. Step 2: Convert to fraction form
    14,746.26/22,067.42 = 9,202.22/x
  3. Step 3: Cross multiply
    14,746.26x = 22,067.42 × 9,202.22
  4. Step 4: Simplify right side
    14,746.26x = 203,069,097.32
  5. Step 5: Solve for x
    x = 203,069,097.32/14,746.26
  6. Step 6: Final answer
    x = 13,770.89

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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.