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Finding the Fourth Proportional to 12,019.82, 16,582.92 and 7,541.94

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Solution

The fourth proportional to 12,019.82, 16,582.92 and 7,541.94 is: 10,405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.82 : 16,582.92 = 7,541.94 : x
  2. Step 2: Convert to fraction form
    12,019.82/16,582.92 = 7,541.94/x
  3. Step 3: Cross multiply
    12,019.82x = 16,582.92 × 7,541.94
  4. Step 4: Simplify right side
    12,019.82x = 125,067,387.66
  5. Step 5: Solve for x
    x = 125,067,387.66/12,019.82
  6. Step 6: Final answer
    x = 10,405.10

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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.