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Finding the Fourth Proportional to 14,743.25, 22,062.93 and 9,199.20

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Solution

The fourth proportional to 14,743.25, 22,062.93 and 9,199.20 is: 13,766.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,743.25 : 22,062.93 = 9,199.20 : x
  2. Step 2: Convert to fraction form
    14,743.25/22,062.93 = 9,199.20/x
  3. Step 3: Cross multiply
    14,743.25x = 22,062.93 × 9,199.20
  4. Step 4: Simplify right side
    14,743.25x = 202,961,305.66
  5. Step 5: Solve for x
    x = 202,961,305.66/14,743.25
  6. Step 6: Final answer
    x = 13,766.39

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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.