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Finding the Fourth Proportional to 20,881.80, 31,280.93 and 12,557.22

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Solution

The fourth proportional to 20,881.80, 31,280.93 and 12,557.22 is: 18,810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,881.80 : 31,280.93 = 12,557.22 : x
  2. Step 2: Convert to fraction form
    20,881.80/31,280.93 = 12,557.22/x
  3. Step 3: Cross multiply
    20,881.80x = 31,280.93 × 12,557.22
  4. Step 4: Simplify right side
    20,881.80x = 392,801,457.03
  5. Step 5: Solve for x
    x = 392,801,457.03/20,881.80
  6. Step 6: Final answer
    x = 18,810.71

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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.