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Finding the Fourth Proportional to 23,234.40, 32,065.06 and 13,162.93

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Solution

The fourth proportional to 23,234.40, 32,065.06 and 13,162.93 is: 18,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,234.40 : 32,065.06 = 13,162.93 : x
  2. Step 2: Convert to fraction form
    23,234.40/32,065.06 = 13,162.93/x
  3. Step 3: Cross multiply
    23,234.40x = 32,065.06 × 13,162.93
  4. Step 4: Simplify right side
    23,234.40x = 422,070,140.23
  5. Step 5: Solve for x
    x = 422,070,140.23/23,234.40
  6. Step 6: Final answer
    x = 18,165.74

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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.