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Finding the Fourth Proportional to 23,673.87, 32,651.10 and 14,716.08

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Solution

The fourth proportional to 23,673.87, 32,651.10 and 14,716.08 is: 20,296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,673.87 : 32,651.10 = 14,716.08 : x
  2. Step 2: Convert to fraction form
    23,673.87/32,651.10 = 14,716.08/x
  3. Step 3: Cross multiply
    23,673.87x = 32,651.10 × 14,716.08
  4. Step 4: Simplify right side
    23,673.87x = 480,496,199.69
  5. Step 5: Solve for x
    x = 480,496,199.69/23,673.87
  6. Step 6: Final answer
    x = 20,296.48

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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.