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Finding the Fourth Proportional to 21,812.82, 32,719.24 and 7,023.04

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Solution

The fourth proportional to 21,812.82, 32,719.24 and 7,023.04 is: 10,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,812.82 : 32,719.24 = 7,023.04 : x
  2. Step 2: Convert to fraction form
    21,812.82/32,719.24 = 7,023.04/x
  3. Step 3: Cross multiply
    21,812.82x = 32,719.24 × 7,023.04
  4. Step 4: Simplify right side
    21,812.82x = 229,788,531.29
  5. Step 5: Solve for x
    x = 229,788,531.29/21,812.82
  6. Step 6: Final answer
    x = 10,534.56

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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.