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Finding the Fourth Proportional to 12,022.88, 16,591.59 and 6,718.82

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Solution

The fourth proportional to 12,022.88, 16,591.59 and 6,718.82 is: 9,271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.88 : 16,591.59 = 6,718.82 : x
  2. Step 2: Convert to fraction form
    12,022.88/16,591.59 = 6,718.82/x
  3. Step 3: Cross multiply
    12,022.88x = 16,591.59 × 6,718.82
  4. Step 4: Simplify right side
    12,022.88x = 111,475,823.77
  5. Step 5: Solve for x
    x = 111,475,823.77/12,022.88
  6. Step 6: Final answer
    x = 9,271.98

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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.