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Finding the Fourth Proportional to 23,005.08, 34,507.92 and 8,214.89

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Solution

The fourth proportional to 23,005.08, 34,507.92 and 8,214.89 is: 12,322.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005.08 : 34,507.92 = 8,214.89 : x
  2. Step 2: Convert to fraction form
    23,005.08/34,507.92 = 8,214.89/x
  3. Step 3: Cross multiply
    23,005.08x = 34,507.92 × 8,214.89
  4. Step 4: Simplify right side
    23,005.08x = 283,478,625.20
  5. Step 5: Solve for x
    x = 283,478,625.20/23,005.08
  6. Step 6: Final answer
    x = 12,322.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.