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Finding the Fourth Proportional to 14,351.67, 21,508.02 and 6,941.43

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Solution

The fourth proportional to 14,351.67, 21,508.02 and 6,941.43 is: 10,402.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,351.67 : 21,508.02 = 6,941.43 : x
  2. Step 2: Convert to fraction form
    14,351.67/21,508.02 = 6,941.43/x
  3. Step 3: Cross multiply
    14,351.67x = 21,508.02 × 6,941.43
  4. Step 4: Simplify right side
    14,351.67x = 149,296,415.27
  5. Step 5: Solve for x
    x = 149,296,415.27/14,351.67
  6. Step 6: Final answer
    x = 10,402.72

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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.