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Finding the Fourth Proportional to 23,309.76, 32,167.29 and 12,699.40

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Solution

The fourth proportional to 23,309.76, 32,167.29 and 12,699.40 is: 17,525.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,309.76 : 32,167.29 = 12,699.40 : x
  2. Step 2: Convert to fraction form
    23,309.76/32,167.29 = 12,699.40/x
  3. Step 3: Cross multiply
    23,309.76x = 32,167.29 × 12,699.40
  4. Step 4: Simplify right side
    23,309.76x = 408,505,310.14
  5. Step 5: Solve for x
    x = 408,505,310.14/23,309.76
  6. Step 6: Final answer
    x = 17,525.08

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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.