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Finding the Fourth Proportional to 16,860, 23,265.14 and 9,305.84

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Solution

The fourth proportional to 16,860, 23,265.14 and 9,305.84 is: 12,841.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,860 : 23,265.14 = 9,305.84 : x
  2. Step 2: Convert to fraction form
    16,860/23,265.14 = 9,305.84/x
  3. Step 3: Cross multiply
    16,860x = 23,265.14 × 9,305.84
  4. Step 4: Simplify right side
    16,860x = 216,501,682.05
  5. Step 5: Solve for x
    x = 216,501,682.05/16,860
  6. Step 6: Final answer
    x = 12,841.14

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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.