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Finding the Fourth Proportional to 23,594.96, 32,564.04 and 14,162.96

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Solution

The fourth proportional to 23,594.96, 32,564.04 and 14,162.96 is: 19,546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,594.96 : 32,564.04 = 14,162.96 : x
  2. Step 2: Convert to fraction form
    23,594.96/32,564.04 = 14,162.96/x
  3. Step 3: Cross multiply
    23,594.96x = 32,564.04 × 14,162.96
  4. Step 4: Simplify right side
    23,594.96x = 461,203,195.96
  5. Step 5: Solve for x
    x = 461,203,195.96/23,594.96
  6. Step 6: Final answer
    x = 19,546.68

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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.