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Finding the Fourth Proportional to 14,431.40, 21,641.70 and 5,067.80

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Solution

The fourth proportional to 14,431.40, 21,641.70 and 5,067.80 is: 7,599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.40 : 21,641.70 = 5,067.80 : x
  2. Step 2: Convert to fraction form
    14,431.40/21,641.70 = 5,067.80/x
  3. Step 3: Cross multiply
    14,431.40x = 21,641.70 × 5,067.80
  4. Step 4: Simplify right side
    14,431.40x = 109,675,807.26
  5. Step 5: Solve for x
    x = 109,675,807.26/14,431.40
  6. Step 6: Final answer
    x = 7,599.80

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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.