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Finding the Fourth Proportional to 14,089.82, 21,133.10 and 4,229.08

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Solution

The fourth proportional to 14,089.82, 21,133.10 and 4,229.08 is: 6,343.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.82 : 21,133.10 = 4,229.08 : x
  2. Step 2: Convert to fraction form
    14,089.82/21,133.10 = 4,229.08/x
  3. Step 3: Cross multiply
    14,089.82x = 21,133.10 × 4,229.08
  4. Step 4: Simplify right side
    14,089.82x = 89,373,528.29
  5. Step 5: Solve for x
    x = 89,373,528.29/14,089.82
  6. Step 6: Final answer
    x = 6,343.13

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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.