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Finding the Fourth Proportional to 14,097.24, 19,444.86 and 9,067.85

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Solution

The fourth proportional to 14,097.24, 19,444.86 and 9,067.85 is: 12,507.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.24 : 19,444.86 = 9,067.85 : x
  2. Step 2: Convert to fraction form
    14,097.24/19,444.86 = 9,067.85/x
  3. Step 3: Cross multiply
    14,097.24x = 19,444.86 × 9,067.85
  4. Step 4: Simplify right side
    14,097.24x = 176,323,028.41
  5. Step 5: Solve for x
    x = 176,323,028.41/14,097.24
  6. Step 6: Final answer
    x = 12,507.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.