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Finding the Fourth Proportional to 14,221.72, 21,339.78 and 9,595

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Solution

The fourth proportional to 14,221.72, 21,339.78 and 9,595 is: 14,397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,221.72 : 21,339.78 = 9,595 : x
  2. Step 2: Convert to fraction form
    14,221.72/21,339.78 = 9,595/x
  3. Step 3: Cross multiply
    14,221.72x = 21,339.78 × 9,595
  4. Step 4: Simplify right side
    14,221.72x = 204,755,189.10
  5. Step 5: Solve for x
    x = 204,755,189.10/14,221.72
  6. Step 6: Final answer
    x = 14,397.36

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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.