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Finding the Fourth Proportional to 14,057.40, 21,086.10 and 5,294.28

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Solution

The fourth proportional to 14,057.40, 21,086.10 and 5,294.28 is: 7,941.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.40 : 21,086.10 = 5,294.28 : x
  2. Step 2: Convert to fraction form
    14,057.40/21,086.10 = 5,294.28/x
  3. Step 3: Cross multiply
    14,057.40x = 21,086.10 × 5,294.28
  4. Step 4: Simplify right side
    14,057.40x = 111,635,717.51
  5. Step 5: Solve for x
    x = 111,635,717.51/14,057.40
  6. Step 6: Final answer
    x = 7,941.42

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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.