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Finding the Fourth Proportional to 23,234.50, 32,058.48 and 13,162.06

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Solution

The fourth proportional to 23,234.50, 32,058.48 and 13,162.06 is: 18,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,234.50 : 32,058.48 = 13,162.06 : x
  2. Step 2: Convert to fraction form
    23,234.50/32,058.48 = 13,162.06/x
  3. Step 3: Cross multiply
    23,234.50x = 32,058.48 × 13,162.06
  4. Step 4: Simplify right side
    23,234.50x = 421,955,637.27
  5. Step 5: Solve for x
    x = 421,955,637.27/23,234.50
  6. Step 6: Final answer
    x = 18,160.74

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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.