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Finding the Fourth Proportional to 16,860.42, 23,265.63 and 9,785.48

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Solution

The fourth proportional to 16,860.42, 23,265.63 and 9,785.48 is: 13,502.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,860.42 : 23,265.63 = 9,785.48 : x
  2. Step 2: Convert to fraction form
    16,860.42/23,265.63 = 9,785.48/x
  3. Step 3: Cross multiply
    16,860.42x = 23,265.63 × 9,785.48
  4. Step 4: Simplify right side
    16,860.42x = 227,665,240.72
  5. Step 5: Solve for x
    x = 227,665,240.72/16,860.42
  6. Step 6: Final answer
    x = 13,502.94

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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.