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Finding the Fourth Proportional to 23,624.88, 32,601.12 and 13,014.24

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Solution

The fourth proportional to 23,624.88, 32,601.12 and 13,014.24 is: 17,958.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,624.88 : 32,601.12 = 13,014.24 : x
  2. Step 2: Convert to fraction form
    23,624.88/32,601.12 = 13,014.24/x
  3. Step 3: Cross multiply
    23,624.88x = 32,601.12 × 13,014.24
  4. Step 4: Simplify right side
    23,624.88x = 424,278,799.95
  5. Step 5: Solve for x
    x = 424,278,799.95/23,624.88
  6. Step 6: Final answer
    x = 17,958.98

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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.