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Finding the Fourth Proportional to 21,146.64, 29,184.14 and 11,716.08

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Solution

The fourth proportional to 21,146.64, 29,184.14 and 11,716.08 is: 16,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,146.64 : 29,184.14 = 11,716.08 : x
  2. Step 2: Convert to fraction form
    21,146.64/29,184.14 = 11,716.08/x
  3. Step 3: Cross multiply
    21,146.64x = 29,184.14 × 11,716.08
  4. Step 4: Simplify right side
    21,146.64x = 341,923,718.97
  5. Step 5: Solve for x
    x = 341,923,718.97/21,146.64
  6. Step 6: Final answer
    x = 16,169.17

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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.