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Finding the Fourth Proportional to 21,719.20, 32,530.20 and 21,233.20

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Solution

The fourth proportional to 21,719.20, 32,530.20 and 21,233.20 is: 31,802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,719.20 : 32,530.20 = 21,233.20 : x
  2. Step 2: Convert to fraction form
    21,719.20/32,530.20 = 21,233.20/x
  3. Step 3: Cross multiply
    21,719.20x = 32,530.20 × 21,233.20
  4. Step 4: Simplify right side
    21,719.20x = 690,720,242.64
  5. Step 5: Solve for x
    x = 690,720,242.64/21,719.20
  6. Step 6: Final answer
    x = 31,802.29

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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.