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Finding the Fourth Proportional to 12,438.96, 17,168.58 and 8,469.60

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Solution

The fourth proportional to 12,438.96, 17,168.58 and 8,469.60 is: 11,689.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.96 : 17,168.58 = 8,469.60 : x
  2. Step 2: Convert to fraction form
    12,438.96/17,168.58 = 8,469.60/x
  3. Step 3: Cross multiply
    12,438.96x = 17,168.58 × 8,469.60
  4. Step 4: Simplify right side
    12,438.96x = 145,411,005.17
  5. Step 5: Solve for x
    x = 145,411,005.17/12,438.96
  6. Step 6: Final answer
    x = 11,689.96

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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.