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Finding the Fourth Proportional to 12,206.42, 16,846.66 and 7,730.59

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Solution

The fourth proportional to 12,206.42, 16,846.66 and 7,730.59 is: 10,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.42 : 16,846.66 = 7,730.59 : x
  2. Step 2: Convert to fraction form
    12,206.42/16,846.66 = 7,730.59/x
  3. Step 3: Cross multiply
    12,206.42x = 16,846.66 × 7,730.59
  4. Step 4: Simplify right side
    12,206.42x = 130,234,559.89
  5. Step 5: Solve for x
    x = 130,234,559.89/12,206.42
  6. Step 6: Final answer
    x = 10,669.35

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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.