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Finding the Fourth Proportional to 14,221.60, 21,334.92 and 6,821.08

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Solution

The fourth proportional to 14,221.60, 21,334.92 and 6,821.08 is: 10,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,221.60 : 21,334.92 = 6,821.08 : x
  2. Step 2: Convert to fraction form
    14,221.60/21,334.92 = 6,821.08/x
  3. Step 3: Cross multiply
    14,221.60x = 21,334.92 × 6,821.08
  4. Step 4: Simplify right side
    14,221.60x = 145,527,196.11
  5. Step 5: Solve for x
    x = 145,527,196.11/14,221.60
  6. Step 6: Final answer
    x = 10,232.83

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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.