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Finding the Fourth Proportional to 21,035.31, 31,558.94 and 8,564.28

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Solution

The fourth proportional to 21,035.31, 31,558.94 and 8,564.28 is: 12,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,035.31 : 31,558.94 = 8,564.28 : x
  2. Step 2: Convert to fraction form
    21,035.31/31,558.94 = 8,564.28/x
  3. Step 3: Cross multiply
    21,035.31x = 31,558.94 × 8,564.28
  4. Step 4: Simplify right side
    21,035.31x = 270,279,587.96
  5. Step 5: Solve for x
    x = 270,279,587.96/21,035.31
  6. Step 6: Final answer
    x = 12,848.85

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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.