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Finding the Fourth Proportional to 14,228.16, 21,324.96 and 7,290.24

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Solution

The fourth proportional to 14,228.16, 21,324.96 and 7,290.24 is: 10,926.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228.16 : 21,324.96 = 7,290.24 : x
  2. Step 2: Convert to fraction form
    14,228.16/21,324.96 = 7,290.24/x
  3. Step 3: Cross multiply
    14,228.16x = 21,324.96 × 7,290.24
  4. Step 4: Simplify right side
    14,228.16x = 155,464,076.39
  5. Step 5: Solve for x
    x = 155,464,076.39/14,228.16
  6. Step 6: Final answer
    x = 10,926.51

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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.