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Finding the Fourth Proportional to 13,060.78, 18,023.38 and 7,092.32

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Solution

The fourth proportional to 13,060.78, 18,023.38 and 7,092.32 is: 9,787.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,060.78 : 18,023.38 = 7,092.32 : x
  2. Step 2: Convert to fraction form
    13,060.78/18,023.38 = 7,092.32/x
  3. Step 3: Cross multiply
    13,060.78x = 18,023.38 × 7,092.32
  4. Step 4: Simplify right side
    13,060.78x = 127,827,578.44
  5. Step 5: Solve for x
    x = 127,827,578.44/13,060.78
  6. Step 6: Final answer
    x = 9,787.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.