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Finding the Fourth Proportional to 23,182.69, 31,991.97 and 12,572.32

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Solution

The fourth proportional to 23,182.69, 31,991.97 and 12,572.32 is: 17,349.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,182.69 : 31,991.97 = 12,572.32 : x
  2. Step 2: Convert to fraction form
    23,182.69/31,991.97 = 12,572.32/x
  3. Step 3: Cross multiply
    23,182.69x = 31,991.97 × 12,572.32
  4. Step 4: Simplify right side
    23,182.69x = 402,213,284.27
  5. Step 5: Solve for x
    x = 402,213,284.27/23,182.69
  6. Step 6: Final answer
    x = 17,349.72

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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.