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Finding the Fourth Proportional to 21,008.72, 31,480.25 and 13,201.13

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Solution

The fourth proportional to 21,008.72, 31,480.25 and 13,201.13 is: 19,781.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,008.72 : 31,480.25 = 13,201.13 : x
  2. Step 2: Convert to fraction form
    21,008.72/31,480.25 = 13,201.13/x
  3. Step 3: Cross multiply
    21,008.72x = 31,480.25 × 13,201.13
  4. Step 4: Simplify right side
    21,008.72x = 415,574,872.68
  5. Step 5: Solve for x
    x = 415,574,872.68/21,008.72
  6. Step 6: Final answer
    x = 19,781.07

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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.