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Finding the Fourth Proportional to 14,221.68, 21,346.92 and 9,823.92

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Solution

The fourth proportional to 14,221.68, 21,346.92 and 9,823.92 is: 14,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,221.68 : 21,346.92 = 9,823.92 : x
  2. Step 2: Convert to fraction form
    14,221.68/21,346.92 = 9,823.92/x
  3. Step 3: Cross multiply
    14,221.68x = 21,346.92 × 9,823.92
  4. Step 4: Simplify right side
    14,221.68x = 209,710,434.33
  5. Step 5: Solve for x
    x = 209,710,434.33/14,221.68
  6. Step 6: Final answer
    x = 14,745.83

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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.