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Finding the Fourth Proportional to 12,460.78, 17,198.40 and 7,159.24

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Solution

The fourth proportional to 12,460.78, 17,198.40 and 7,159.24 is: 9,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,460.78 : 17,198.40 = 7,159.24 : x
  2. Step 2: Convert to fraction form
    12,460.78/17,198.40 = 7,159.24/x
  3. Step 3: Cross multiply
    12,460.78x = 17,198.40 × 7,159.24
  4. Step 4: Simplify right side
    12,460.78x = 123,127,473.22
  5. Step 5: Solve for x
    x = 123,127,473.22/12,460.78
  6. Step 6: Final answer
    x = 9,881.20

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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.