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Finding the Fourth Proportional to 21,636, 29,857.77 and 11,700

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Solution

The fourth proportional to 21,636, 29,857.77 and 11,700 is: 16,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,636 : 29,857.77 = 11,700 : x
  2. Step 2: Convert to fraction form
    21,636/29,857.77 = 11,700/x
  3. Step 3: Cross multiply
    21,636x = 29,857.77 × 11,700
  4. Step 4: Simplify right side
    21,636x = 349,335,909
  5. Step 5: Solve for x
    x = 349,335,909/21,636
  6. Step 6: Final answer
    x = 16,146.05

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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.