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Finding the Fourth Proportional to 21,593.12, 29,805.96 and 12,643.50

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Solution

The fourth proportional to 21,593.12, 29,805.96 and 12,643.50 is: 17,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,593.12 : 29,805.96 = 12,643.50 : x
  2. Step 2: Convert to fraction form
    21,593.12/29,805.96 = 12,643.50/x
  3. Step 3: Cross multiply
    21,593.12x = 29,805.96 × 12,643.50
  4. Step 4: Simplify right side
    21,593.12x = 376,851,655.26
  5. Step 5: Solve for x
    x = 376,851,655.26/21,593.12
  6. Step 6: Final answer
    x = 17,452.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.