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Finding the Fourth Proportional to 21,434.13, 32,162.13 and 9,745.83

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Solution

The fourth proportional to 21,434.13, 32,162.13 and 9,745.83 is: 14,623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,434.13 : 32,162.13 = 9,745.83 : x
  2. Step 2: Convert to fraction form
    21,434.13/32,162.13 = 9,745.83/x
  3. Step 3: Cross multiply
    21,434.13x = 32,162.13 × 9,745.83
  4. Step 4: Simplify right side
    21,434.13x = 313,446,651.42
  5. Step 5: Solve for x
    x = 313,446,651.42/21,434.13
  6. Step 6: Final answer
    x = 14,623.72

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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.