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Finding the Fourth Proportional to 22,932.23, 31,647.99 and 12,861.32

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Solution

The fourth proportional to 22,932.23, 31,647.99 and 12,861.32 is: 17,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,932.23 : 31,647.99 = 12,861.32 : x
  2. Step 2: Convert to fraction form
    22,932.23/31,647.99 = 12,861.32/x
  3. Step 3: Cross multiply
    22,932.23x = 31,647.99 × 12,861.32
  4. Step 4: Simplify right side
    22,932.23x = 407,034,768.51
  5. Step 5: Solve for x
    x = 407,034,768.51/22,932.23
  6. Step 6: Final answer
    x = 17,749.47

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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.