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Finding the Fourth Proportional to 22,709.64, 34,064.30 and 8,858.64

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Solution

The fourth proportional to 22,709.64, 34,064.30 and 8,858.64 is: 13,287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.64 : 34,064.30 = 8,858.64 : x
  2. Step 2: Convert to fraction form
    22,709.64/34,064.30 = 8,858.64/x
  3. Step 3: Cross multiply
    22,709.64x = 34,064.30 × 8,858.64
  4. Step 4: Simplify right side
    22,709.64x = 301,763,370.55
  5. Step 5: Solve for x
    x = 301,763,370.55/22,709.64
  6. Step 6: Final answer
    x = 13,287.90

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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.