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Finding the Fourth Proportional to 23,624.50, 32,601.82 and 13,014.14

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Solution

The fourth proportional to 23,624.50, 32,601.82 and 13,014.14 is: 17,959.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,624.50 : 32,601.82 = 13,014.14 : x
  2. Step 2: Convert to fraction form
    23,624.50/32,601.82 = 13,014.14/x
  3. Step 3: Cross multiply
    23,624.50x = 32,601.82 × 13,014.14
  4. Step 4: Simplify right side
    23,624.50x = 424,284,649.73
  5. Step 5: Solve for x
    x = 424,284,649.73/23,624.50
  6. Step 6: Final answer
    x = 17,959.52

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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.