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Finding the Fourth Proportional to 21,524.01, 29,707.83 and 11,967.16

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Solution

The fourth proportional to 21,524.01, 29,707.83 and 11,967.16 is: 16,517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,524.01 : 29,707.83 = 11,967.16 : x
  2. Step 2: Convert to fraction form
    21,524.01/29,707.83 = 11,967.16/x
  3. Step 3: Cross multiply
    21,524.01x = 29,707.83 × 11,967.16
  4. Step 4: Simplify right side
    21,524.01x = 355,518,424.20
  5. Step 5: Solve for x
    x = 355,518,424.20/21,524.01
  6. Step 6: Final answer
    x = 16,517.30

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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.