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Finding the Fourth Proportional to 21,820.50, 32,732.10 and 6,239.34

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Solution

The fourth proportional to 21,820.50, 32,732.10 and 6,239.34 is: 9,359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,820.50 : 32,732.10 = 6,239.34 : x
  2. Step 2: Convert to fraction form
    21,820.50/32,732.10 = 6,239.34/x
  3. Step 3: Cross multiply
    21,820.50x = 32,732.10 × 6,239.34
  4. Step 4: Simplify right side
    21,820.50x = 204,226,700.81
  5. Step 5: Solve for x
    x = 204,226,700.81/21,820.50
  6. Step 6: Final answer
    x = 9,359.40

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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.