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Finding the Fourth Proportional to 21,549.50, 32,308.41 and 8,220.14

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Solution

The fourth proportional to 21,549.50, 32,308.41 and 8,220.14 is: 12,324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,549.50 : 32,308.41 = 8,220.14 : x
  2. Step 2: Convert to fraction form
    21,549.50/32,308.41 = 8,220.14/x
  3. Step 3: Cross multiply
    21,549.50x = 32,308.41 × 8,220.14
  4. Step 4: Simplify right side
    21,549.50x = 265,579,653.38
  5. Step 5: Solve for x
    x = 265,579,653.38/21,549.50
  6. Step 6: Final answer
    x = 12,324.17

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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.