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Finding the Fourth Proportional to 22,709.60, 34,064.40 and 8,858.60

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Solution

The fourth proportional to 22,709.60, 34,064.40 and 8,858.60 is: 13,287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.60 : 34,064.40 = 8,858.60 : x
  2. Step 2: Convert to fraction form
    22,709.60/34,064.40 = 8,858.60/x
  3. Step 3: Cross multiply
    22,709.60x = 34,064.40 × 8,858.60
  4. Step 4: Simplify right side
    22,709.60x = 301,762,893.84
  5. Step 5: Solve for x
    x = 301,762,893.84/22,709.60
  6. Step 6: Final answer
    x = 13,287.90

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Why These Related Problems?

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