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Finding the Fourth Proportional to 21,856.96, 32,785.32 and 6,274.54

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Solution

The fourth proportional to 21,856.96, 32,785.32 and 6,274.54 is: 9,411.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,856.96 : 32,785.32 = 6,274.54 : x
  2. Step 2: Convert to fraction form
    21,856.96/32,785.32 = 6,274.54/x
  3. Step 3: Cross multiply
    21,856.96x = 32,785.32 × 6,274.54
  4. Step 4: Simplify right side
    21,856.96x = 205,712,801.75
  5. Step 5: Solve for x
    x = 205,712,801.75/21,856.96
  6. Step 6: Final answer
    x = 9,411.78

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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.