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Finding the Fourth Proportional to 23,234.68, 32,064.16 and 12,624.50

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Solution

The fourth proportional to 23,234.68, 32,064.16 and 12,624.50 is: 17,421.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,234.68 : 32,064.16 = 12,624.50 : x
  2. Step 2: Convert to fraction form
    23,234.68/32,064.16 = 12,624.50/x
  3. Step 3: Cross multiply
    23,234.68x = 32,064.16 × 12,624.50
  4. Step 4: Simplify right side
    23,234.68x = 404,793,987.92
  5. Step 5: Solve for x
    x = 404,793,987.92/23,234.68
  6. Step 6: Final answer
    x = 17,421.97

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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.