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Finding the Fourth Proportional to 23,085, 31,857.30 and 13,150.92

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Solution

The fourth proportional to 23,085, 31,857.30 and 13,150.92 is: 18,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,085 : 31,857.30 = 13,150.92 : x
  2. Step 2: Convert to fraction form
    23,085/31,857.30 = 13,150.92/x
  3. Step 3: Cross multiply
    23,085x = 31,857.30 × 13,150.92
  4. Step 4: Simplify right side
    23,085x = 418,952,803.72
  5. Step 5: Solve for x
    x = 418,952,803.72/23,085
  6. Step 6: Final answer
    x = 18,148.27

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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.