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Finding the Fourth Proportional to 21,401.68, 32,221.54 and 18,544

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Solution

The fourth proportional to 21,401.68, 32,221.54 and 18,544 is: 27,919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,401.68 : 32,221.54 = 18,544 : x
  2. Step 2: Convert to fraction form
    21,401.68/32,221.54 = 18,544/x
  3. Step 3: Cross multiply
    21,401.68x = 32,221.54 × 18,544
  4. Step 4: Simplify right side
    21,401.68x = 597,516,237.76
  5. Step 5: Solve for x
    x = 597,516,237.76/21,401.68
  6. Step 6: Final answer
    x = 27,919.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.