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Finding the Fourth Proportional to 21,236.52, 31,856.00 and 6,445.92

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Solution

The fourth proportional to 21,236.52, 31,856.00 and 6,445.92 is: 9,669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,236.52 : 31,856.00 = 6,445.92 : x
  2. Step 2: Convert to fraction form
    21,236.52/31,856.00 = 6,445.92/x
  3. Step 3: Cross multiply
    21,236.52x = 31,856.00 × 6,445.92
  4. Step 4: Simplify right side
    21,236.52x = 205,341,195.29
  5. Step 5: Solve for x
    x = 205,341,195.29/21,236.52
  6. Step 6: Final answer
    x = 9,669.25

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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.