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Finding the Fourth Proportional to 23,102.95, 31,882.07 and 12,492.58

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Solution

The fourth proportional to 23,102.95, 31,882.07 and 12,492.58 is: 17,239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,102.95 : 31,882.07 = 12,492.58 : x
  2. Step 2: Convert to fraction form
    23,102.95/31,882.07 = 12,492.58/x
  3. Step 3: Cross multiply
    23,102.95x = 31,882.07 × 12,492.58
  4. Step 4: Simplify right side
    23,102.95x = 398,289,310.04
  5. Step 5: Solve for x
    x = 398,289,310.04/23,102.95
  6. Step 6: Final answer
    x = 17,239.76

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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.