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Finding the Fourth Proportional to 21,906.72, 32,864.40 and 14,104.80

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Solution

The fourth proportional to 21,906.72, 32,864.40 and 14,104.80 is: 21,159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906.72 : 32,864.40 = 14,104.80 : x
  2. Step 2: Convert to fraction form
    21,906.72/32,864.40 = 14,104.80/x
  3. Step 3: Cross multiply
    21,906.72x = 32,864.40 × 14,104.80
  4. Step 4: Simplify right side
    21,906.72x = 463,545,789.12
  5. Step 5: Solve for x
    x = 463,545,789.12/21,906.72
  6. Step 6: Final answer
    x = 21,159.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.