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Finding the Fourth Proportional to 21,856.30, 32,784.43 and 8,717.90

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Solution

The fourth proportional to 21,856.30, 32,784.43 and 8,717.90 is: 13,076.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,856.30 : 32,784.43 = 8,717.90 : x
  2. Step 2: Convert to fraction form
    21,856.30/32,784.43 = 8,717.90/x
  3. Step 3: Cross multiply
    21,856.30x = 32,784.43 × 8,717.90
  4. Step 4: Simplify right side
    21,856.30x = 285,811,338.71
  5. Step 5: Solve for x
    x = 285,811,338.71/21,856.30
  6. Step 6: Final answer
    x = 13,076.84

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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.