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Finding the Fourth Proportional to 21,284.98, 29,371.17 and 11,854.42

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Solution

The fourth proportional to 21,284.98, 29,371.17 and 11,854.42 is: 16,357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,284.98 : 29,371.17 = 11,854.42 : x
  2. Step 2: Convert to fraction form
    21,284.98/29,371.17 = 11,854.42/x
  3. Step 3: Cross multiply
    21,284.98x = 29,371.17 × 11,854.42
  4. Step 4: Simplify right side
    21,284.98x = 348,178,185.07
  5. Step 5: Solve for x
    x = 348,178,185.07/21,284.98
  6. Step 6: Final answer
    x = 16,357.93

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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.