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Finding the Fourth Proportional to 23,309.66, 32,167.29 and 12,699.30

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Solution

The fourth proportional to 23,309.66, 32,167.29 and 12,699.30 is: 17,525.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,309.66 : 32,167.29 = 12,699.30 : x
  2. Step 2: Convert to fraction form
    23,309.66/32,167.29 = 12,699.30/x
  3. Step 3: Cross multiply
    23,309.66x = 32,167.29 × 12,699.30
  4. Step 4: Simplify right side
    23,309.66x = 408,502,065.90
  5. Step 5: Solve for x
    x = 408,502,065.90/23,309.66
  6. Step 6: Final answer
    x = 17,525.02

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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.