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Finding the Fourth Proportional to 21,906.38, 32,928.15 and 14,457.80

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Solution

The fourth proportional to 21,906.38, 32,928.15 and 14,457.80 is: 21,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906.38 : 32,928.15 = 14,457.80 : x
  2. Step 2: Convert to fraction form
    21,906.38/32,928.15 = 14,457.80/x
  3. Step 3: Cross multiply
    21,906.38x = 32,928.15 × 14,457.80
  4. Step 4: Simplify right side
    21,906.38x = 476,068,607.07
  5. Step 5: Solve for x
    x = 476,068,607.07/21,906.38
  6. Step 6: Final answer
    x = 21,731.96

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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.