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Finding the Fourth Proportional to 14,044.30, 21,066.89 and 6,142.75

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Solution

The fourth proportional to 14,044.30, 21,066.89 and 6,142.75 is: 9,214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,044.30 : 21,066.89 = 6,142.75 : x
  2. Step 2: Convert to fraction form
    14,044.30/21,066.89 = 6,142.75/x
  3. Step 3: Cross multiply
    14,044.30x = 21,066.89 × 6,142.75
  4. Step 4: Simplify right side
    14,044.30x = 129,408,638.55
  5. Step 5: Solve for x
    x = 129,408,638.55/14,044.30
  6. Step 6: Final answer
    x = 9,214.32

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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.