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Finding the Fourth Proportional to 14,057.29, 21,083.81 and 5,290.16

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Solution

The fourth proportional to 14,057.29, 21,083.81 and 5,290.16 is: 7,934.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.29 : 21,083.81 = 5,290.16 : x
  2. Step 2: Convert to fraction form
    14,057.29/21,083.81 = 5,290.16/x
  3. Step 3: Cross multiply
    14,057.29x = 21,083.81 × 5,290.16
  4. Step 4: Simplify right side
    14,057.29x = 111,536,728.31
  5. Step 5: Solve for x
    x = 111,536,728.31/14,057.29
  6. Step 6: Final answer
    x = 7,934.44

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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.