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Finding the Fourth Proportional to 21,224.16, 29,287.98 and 13,266

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Solution

The fourth proportional to 21,224.16, 29,287.98 and 13,266 is: 18,306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.16 : 29,287.98 = 13,266 : x
  2. Step 2: Convert to fraction form
    21,224.16/29,287.98 = 13,266/x
  3. Step 3: Cross multiply
    21,224.16x = 29,287.98 × 13,266
  4. Step 4: Simplify right side
    21,224.16x = 388,534,342.68
  5. Step 5: Solve for x
    x = 388,534,342.68/21,224.16
  6. Step 6: Final answer
    x = 18,306.23

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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.