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Finding the Fourth Proportional to 12,342.54, 18,490.56 and 6,095.24

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Solution

The fourth proportional to 12,342.54, 18,490.56 and 6,095.24 is: 9,131.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.54 : 18,490.56 = 6,095.24 : x
  2. Step 2: Convert to fraction form
    12,342.54/18,490.56 = 6,095.24/x
  3. Step 3: Cross multiply
    12,342.54x = 18,490.56 × 6,095.24
  4. Step 4: Simplify right side
    12,342.54x = 112,704,400.93
  5. Step 5: Solve for x
    x = 112,704,400.93/12,342.54
  6. Step 6: Final answer
    x = 9,131.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.