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Finding the Fourth Proportional to 23,176.29, 31,971.99 and 13,738.17

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Solution

The fourth proportional to 23,176.29, 31,971.99 and 13,738.17 is: 18,951.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,176.29 : 31,971.99 = 13,738.17 : x
  2. Step 2: Convert to fraction form
    23,176.29/31,971.99 = 13,738.17/x
  3. Step 3: Cross multiply
    23,176.29x = 31,971.99 × 13,738.17
  4. Step 4: Simplify right side
    23,176.29x = 439,236,633.86
  5. Step 5: Solve for x
    x = 439,236,633.86/23,176.29
  6. Step 6: Final answer
    x = 18,951.98

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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.