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Finding the Fourth Proportional to 23,182.86, 31,992.12 and 12,572.31

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Solution

The fourth proportional to 23,182.86, 31,992.12 and 12,572.31 is: 17,349.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,182.86 : 31,992.12 = 12,572.31 : x
  2. Step 2: Convert to fraction form
    23,182.86/31,992.12 = 12,572.31/x
  3. Step 3: Cross multiply
    23,182.86x = 31,992.12 × 12,572.31
  4. Step 4: Simplify right side
    23,182.86x = 402,214,850.20
  5. Step 5: Solve for x
    x = 402,214,850.20/23,182.86
  6. Step 6: Final answer
    x = 17,349.66

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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.