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Finding the Fourth Proportional to 14,696.64, 22,021.42 and 13,204.60

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Solution

The fourth proportional to 14,696.64, 22,021.42 and 13,204.60 is: 19,785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.64 : 22,021.42 = 13,204.60 : x
  2. Step 2: Convert to fraction form
    14,696.64/22,021.42 = 13,204.60/x
  3. Step 3: Cross multiply
    14,696.64x = 22,021.42 × 13,204.60
  4. Step 4: Simplify right side
    14,696.64x = 290,784,042.53
  5. Step 5: Solve for x
    x = 290,784,042.53/14,696.64
  6. Step 6: Final answer
    x = 19,785.75

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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.