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Finding the Fourth Proportional to 21,077.70, 31,607.04 and 11,214.87

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Solution

The fourth proportional to 21,077.70, 31,607.04 and 11,214.87 is: 16,817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,077.70 : 31,607.04 = 11,214.87 : x
  2. Step 2: Convert to fraction form
    21,077.70/31,607.04 = 11,214.87/x
  3. Step 3: Cross multiply
    21,077.70x = 31,607.04 × 11,214.87
  4. Step 4: Simplify right side
    21,077.70x = 354,468,844.68
  5. Step 5: Solve for x
    x = 354,468,844.68/21,077.70
  6. Step 6: Final answer
    x = 16,817.24

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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.