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Finding the Fourth Proportional to 23,564.70, 32,544.65 and 14,633.42

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Solution

The fourth proportional to 23,564.70, 32,544.65 and 14,633.42 is: 20,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.70 : 32,544.65 = 14,633.42 : x
  2. Step 2: Convert to fraction form
    23,564.70/32,544.65 = 14,633.42/x
  3. Step 3: Cross multiply
    23,564.70x = 32,544.65 × 14,633.42
  4. Step 4: Simplify right side
    23,564.70x = 476,239,406.06
  5. Step 5: Solve for x
    x = 476,239,406.06/23,564.70
  6. Step 6: Final answer
    x = 20,209.87

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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.