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Finding the Fourth Proportional to 17,364.12, 23,963.39 and 9,810.77

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Solution

The fourth proportional to 17,364.12, 23,963.39 and 9,810.77 is: 13,539.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,364.12 : 23,963.39 = 9,810.77 : x
  2. Step 2: Convert to fraction form
    17,364.12/23,963.39 = 9,810.77/x
  3. Step 3: Cross multiply
    17,364.12x = 23,963.39 × 9,810.77
  4. Step 4: Simplify right side
    17,364.12x = 235,099,365.61
  5. Step 5: Solve for x
    x = 235,099,365.61/17,364.12
  6. Step 6: Final answer
    x = 13,539.38

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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.