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Finding the Fourth Proportional to 20,893.22, 31,342.01 and 6,102.17

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Solution

The fourth proportional to 20,893.22, 31,342.01 and 6,102.17 is: 9,153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,893.22 : 31,342.01 = 6,102.17 : x
  2. Step 2: Convert to fraction form
    20,893.22/31,342.01 = 6,102.17/x
  3. Step 3: Cross multiply
    20,893.22x = 31,342.01 × 6,102.17
  4. Step 4: Simplify right side
    20,893.22x = 191,254,366.77
  5. Step 5: Solve for x
    x = 191,254,366.77/20,893.22
  6. Step 6: Final answer
    x = 9,153.90

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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.