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Finding the Fourth Proportional to 12,017.36, 16,582.38 and 6,711.32

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Solution

The fourth proportional to 12,017.36, 16,582.38 and 6,711.32 is: 9,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,017.36 : 16,582.38 = 6,711.32 : x
  2. Step 2: Convert to fraction form
    12,017.36/16,582.38 = 6,711.32/x
  3. Step 3: Cross multiply
    12,017.36x = 16,582.38 × 6,711.32
  4. Step 4: Simplify right side
    12,017.36x = 111,289,658.54
  5. Step 5: Solve for x
    x = 111,289,658.54/12,017.36
  6. Step 6: Final answer
    x = 9,260.74

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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.