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Finding the Fourth Proportional to 17,363.88, 23,963.34 and 9,807.60

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Solution

The fourth proportional to 17,363.88, 23,963.34 and 9,807.60 is: 13,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,363.88 : 23,963.34 = 9,807.60 : x
  2. Step 2: Convert to fraction form
    17,363.88/23,963.34 = 9,807.60/x
  3. Step 3: Cross multiply
    17,363.88x = 23,963.34 × 9,807.60
  4. Step 4: Simplify right side
    17,363.88x = 235,022,853.38
  5. Step 5: Solve for x
    x = 235,022,853.38/17,363.88
  6. Step 6: Final answer
    x = 13,535.16

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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.