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Finding the Fourth Proportional to 12,464.49, 17,201.01 and 7,160.34

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Solution

The fourth proportional to 12,464.49, 17,201.01 and 7,160.34 is: 9,881.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.49 : 17,201.01 = 7,160.34 : x
  2. Step 2: Convert to fraction form
    12,464.49/17,201.01 = 7,160.34/x
  3. Step 3: Cross multiply
    12,464.49x = 17,201.01 × 7,160.34
  4. Step 4: Simplify right side
    12,464.49x = 123,165,079.94
  5. Step 5: Solve for x
    x = 123,165,079.94/12,464.49
  6. Step 6: Final answer
    x = 9,881.28

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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.