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Finding the Fourth Proportional to 12,166.61, 16,778.75 and 7,682.45

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Solution

The fourth proportional to 12,166.61, 16,778.75 and 7,682.45 is: 10,594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.61 : 16,778.75 = 7,682.45 : x
  2. Step 2: Convert to fraction form
    12,166.61/16,778.75 = 7,682.45/x
  3. Step 3: Cross multiply
    12,166.61x = 16,778.75 × 7,682.45
  4. Step 4: Simplify right side
    12,166.61x = 128,901,785.63
  5. Step 5: Solve for x
    x = 128,901,785.63/12,166.61
  6. Step 6: Final answer
    x = 10,594.72

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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.