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Finding the Fourth Proportional to 21,154.64, 29,198.61 and 12,207.47

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Solution

The fourth proportional to 21,154.64, 29,198.61 and 12,207.47 is: 16,849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,154.64 : 29,198.61 = 12,207.47 : x
  2. Step 2: Convert to fraction form
    21,154.64/29,198.61 = 12,207.47/x
  3. Step 3: Cross multiply
    21,154.64x = 29,198.61 × 12,207.47
  4. Step 4: Simplify right side
    21,154.64x = 356,441,009.62
  5. Step 5: Solve for x
    x = 356,441,009.62/21,154.64
  6. Step 6: Final answer
    x = 16,849.31

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