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Finding the Fourth Proportional to 21,088.38, 29,101.89 and 11,656.89

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Solution

The fourth proportional to 21,088.38, 29,101.89 and 11,656.89 is: 16,086.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,088.38 : 29,101.89 = 11,656.89 : x
  2. Step 2: Convert to fraction form
    21,088.38/29,101.89 = 11,656.89/x
  3. Step 3: Cross multiply
    21,088.38x = 29,101.89 × 11,656.89
  4. Step 4: Simplify right side
    21,088.38x = 339,237,530.52
  5. Step 5: Solve for x
    x = 339,237,530.52/21,088.38
  6. Step 6: Final answer
    x = 16,086.47

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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.