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Finding the Fourth Proportional to 12,335.08, 17,024.18 and 7,857.40

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Solution

The fourth proportional to 12,335.08, 17,024.18 and 7,857.40 is: 10,844.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,335.08 : 17,024.18 = 7,857.40 : x
  2. Step 2: Convert to fraction form
    12,335.08/17,024.18 = 7,857.40/x
  3. Step 3: Cross multiply
    12,335.08x = 17,024.18 × 7,857.40
  4. Step 4: Simplify right side
    12,335.08x = 133,765,791.93
  5. Step 5: Solve for x
    x = 133,765,791.93/12,335.08
  6. Step 6: Final answer
    x = 10,844.34

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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.