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Finding the Fourth Proportional to 14,227.84, 21,339.68 and 10,297.84

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Solution

The fourth proportional to 14,227.84, 21,339.68 and 10,297.84 is: 15,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227.84 : 21,339.68 = 10,297.84 : x
  2. Step 2: Convert to fraction form
    14,227.84/21,339.68 = 10,297.84/x
  3. Step 3: Cross multiply
    14,227.84x = 21,339.68 × 10,297.84
  4. Step 4: Simplify right side
    14,227.84x = 219,752,610.29
  5. Step 5: Solve for x
    x = 219,752,610.29/14,227.84
  6. Step 6: Final answer
    x = 15,445.25

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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.