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Finding the Fourth Proportional to 17,640, 24,321.60 and 13,851.36

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Solution

The fourth proportional to 17,640, 24,321.60 and 13,851.36 is: 19,097.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640 : 24,321.60 = 13,851.36 : x
  2. Step 2: Convert to fraction form
    17,640/24,321.60 = 13,851.36/x
  3. Step 3: Cross multiply
    17,640x = 24,321.60 × 13,851.36
  4. Step 4: Simplify right side
    17,640x = 336,887,237.38
  5. Step 5: Solve for x
    x = 336,887,237.38/17,640
  6. Step 6: Final answer
    x = 19,097.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.