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Finding the Fourth Proportional to 23,158.86, 31,959.74 and 13,601.48

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Solution

The fourth proportional to 23,158.86, 31,959.74 and 13,601.48 is: 18,770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,158.86 : 31,959.74 = 13,601.48 : x
  2. Step 2: Convert to fraction form
    23,158.86/31,959.74 = 13,601.48/x
  3. Step 3: Cross multiply
    23,158.86x = 31,959.74 × 13,601.48
  4. Step 4: Simplify right side
    23,158.86x = 434,699,764.42
  5. Step 5: Solve for x
    x = 434,699,764.42/23,158.86
  6. Step 6: Final answer
    x = 18,770.34

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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.