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Finding the Fourth Proportional to 14,023.51, 21,019.10 and 5,694.38

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Solution

The fourth proportional to 14,023.51, 21,019.10 and 5,694.38 is: 8,535.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,023.51 : 21,019.10 = 5,694.38 : x
  2. Step 2: Convert to fraction form
    14,023.51/21,019.10 = 5,694.38/x
  3. Step 3: Cross multiply
    14,023.51x = 21,019.10 × 5,694.38
  4. Step 4: Simplify right side
    14,023.51x = 119,690,651.80
  5. Step 5: Solve for x
    x = 119,690,651.80/14,023.51
  6. Step 6: Final answer
    x = 8,535.00

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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.