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Finding the Fourth Proportional to 21,856.16, 32,784 and 6,273.80

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Solution

The fourth proportional to 21,856.16, 32,784 and 6,273.80 is: 9,410.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,856.16 : 32,784 = 6,273.80 : x
  2. Step 2: Convert to fraction form
    21,856.16/32,784 = 6,273.80/x
  3. Step 3: Cross multiply
    21,856.16x = 32,784 × 6,273.80
  4. Step 4: Simplify right side
    21,856.16x = 205,680,259.20
  5. Step 5: Solve for x
    x = 205,680,259.20/21,856.16
  6. Step 6: Final answer
    x = 9,410.63

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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.