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Finding the Fourth Proportional to 16,801.76, 23,181.72 and 9,727.76

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Solution

The fourth proportional to 16,801.76, 23,181.72 and 9,727.76 is: 13,421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,801.76 : 23,181.72 = 9,727.76 : x
  2. Step 2: Convert to fraction form
    16,801.76/23,181.72 = 9,727.76/x
  3. Step 3: Cross multiply
    16,801.76x = 23,181.72 × 9,727.76
  4. Step 4: Simplify right side
    16,801.76x = 225,506,208.55
  5. Step 5: Solve for x
    x = 225,506,208.55/16,801.76
  6. Step 6: Final answer
    x = 13,421.58

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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.