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Finding the Fourth Proportional to 12,606.66, 18,902.88 and 5,202.90

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Solution

The fourth proportional to 12,606.66, 18,902.88 and 5,202.90 is: 7,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.66 : 18,902.88 = 5,202.90 : x
  2. Step 2: Convert to fraction form
    12,606.66/18,902.88 = 5,202.90/x
  3. Step 3: Cross multiply
    12,606.66x = 18,902.88 × 5,202.90
  4. Step 4: Simplify right side
    12,606.66x = 98,349,794.35
  5. Step 5: Solve for x
    x = 98,349,794.35/12,606.66
  6. Step 6: Final answer
    x = 7,801.42

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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.