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Finding the Fourth Proportional to 23,817.96, 32,869.32 and 13,063.08

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Solution

The fourth proportional to 23,817.96, 32,869.32 and 13,063.08 is: 18,027.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,817.96 : 32,869.32 = 13,063.08 : x
  2. Step 2: Convert to fraction form
    23,817.96/32,869.32 = 13,063.08/x
  3. Step 3: Cross multiply
    23,817.96x = 32,869.32 × 13,063.08
  4. Step 4: Simplify right side
    23,817.96x = 429,374,556.71
  5. Step 5: Solve for x
    x = 429,374,556.71/23,817.96
  6. Step 6: Final answer
    x = 18,027.34

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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.