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Finding the Fourth Proportional to 21,499.64, 29,667.87 and 12,066.38

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Solution

The fourth proportional to 21,499.64, 29,667.87 and 12,066.38 is: 16,650.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,499.64 : 29,667.87 = 12,066.38 : x
  2. Step 2: Convert to fraction form
    21,499.64/29,667.87 = 12,066.38/x
  3. Step 3: Cross multiply
    21,499.64x = 29,667.87 × 12,066.38
  4. Step 4: Simplify right side
    21,499.64x = 357,983,644.87
  5. Step 5: Solve for x
    x = 357,983,644.87/21,499.64
  6. Step 6: Final answer
    x = 16,650.68

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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.