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Finding the Fourth Proportional to 21,812.71, 32,719.20 and 7,773.28

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Solution

The fourth proportional to 21,812.71, 32,719.20 and 7,773.28 is: 11,659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,812.71 : 32,719.20 = 7,773.28 : x
  2. Step 2: Convert to fraction form
    21,812.71/32,719.20 = 7,773.28/x
  3. Step 3: Cross multiply
    21,812.71x = 32,719.20 × 7,773.28
  4. Step 4: Simplify right side
    21,812.71x = 254,335,464.11
  5. Step 5: Solve for x
    x = 254,335,464.11/21,812.71
  6. Step 6: Final answer
    x = 11,659.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.