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Finding the Fourth Proportional to 12,468.72, 17,207.20 and 7,164.60

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Solution

The fourth proportional to 12,468.72, 17,207.20 and 7,164.60 is: 9,887.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.72 : 17,207.20 = 7,164.60 : x
  2. Step 2: Convert to fraction form
    12,468.72/17,207.20 = 7,164.60/x
  3. Step 3: Cross multiply
    12,468.72x = 17,207.20 × 7,164.60
  4. Step 4: Simplify right side
    12,468.72x = 123,282,705.12
  5. Step 5: Solve for x
    x = 123,282,705.12/12,468.72
  6. Step 6: Final answer
    x = 9,887.36

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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.