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Finding the Fourth Proportional to 12,644, 17,448.72 and 7,055.04

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Solution

The fourth proportional to 12,644, 17,448.72 and 7,055.04 is: 9,735.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644 : 17,448.72 = 7,055.04 : x
  2. Step 2: Convert to fraction form
    12,644/17,448.72 = 7,055.04/x
  3. Step 3: Cross multiply
    12,644x = 17,448.72 × 7,055.04
  4. Step 4: Simplify right side
    12,644x = 123,101,417.55
  5. Step 5: Solve for x
    x = 123,101,417.55/12,644
  6. Step 6: Final answer
    x = 9,735.96

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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.