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Finding the Fourth Proportional to 21,698.42, 29,946.04 and 13,201.14

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Solution

The fourth proportional to 21,698.42, 29,946.04 and 13,201.14 is: 18,218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,698.42 : 29,946.04 = 13,201.14 : x
  2. Step 2: Convert to fraction form
    21,698.42/29,946.04 = 13,201.14/x
  3. Step 3: Cross multiply
    21,698.42x = 29,946.04 × 13,201.14
  4. Step 4: Simplify right side
    21,698.42x = 395,321,945.78
  5. Step 5: Solve for x
    x = 395,321,945.78/21,698.42
  6. Step 6: Final answer
    x = 18,218.93

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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.