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Finding the Fourth Proportional to 12,617.78, 17,412.17 and 7,312.28

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Solution

The fourth proportional to 12,617.78, 17,412.17 and 7,312.28 is: 10,090.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.78 : 17,412.17 = 7,312.28 : x
  2. Step 2: Convert to fraction form
    12,617.78/17,412.17 = 7,312.28/x
  3. Step 3: Cross multiply
    12,617.78x = 17,412.17 × 7,312.28
  4. Step 4: Simplify right side
    12,617.78x = 127,322,538.83
  5. Step 5: Solve for x
    x = 127,322,538.83/12,617.78
  6. Step 6: Final answer
    x = 10,090.73

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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.