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Finding the Fourth Proportional to 16,675.83, 23,008.77 and 9,963.63

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Solution

The fourth proportional to 16,675.83, 23,008.77 and 9,963.63 is: 13,747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,675.83 : 23,008.77 = 9,963.63 : x
  2. Step 2: Convert to fraction form
    16,675.83/23,008.77 = 9,963.63/x
  3. Step 3: Cross multiply
    16,675.83x = 23,008.77 × 9,963.63
  4. Step 4: Simplify right side
    16,675.83x = 229,250,871.04
  5. Step 5: Solve for x
    x = 229,250,871.04/16,675.83
  6. Step 6: Final answer
    x = 13,747.49

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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.