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Finding the Fourth Proportional to 12,766.66, 17,613.69 and 7,458.46

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Solution

The fourth proportional to 12,766.66, 17,613.69 and 7,458.46 is: 10,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.66 : 17,613.69 = 7,458.46 : x
  2. Step 2: Convert to fraction form
    12,766.66/17,613.69 = 7,458.46/x
  3. Step 3: Cross multiply
    12,766.66x = 17,613.69 × 7,458.46
  4. Step 4: Simplify right side
    12,766.66x = 131,371,002.32
  5. Step 5: Solve for x
    x = 131,371,002.32/12,766.66
  6. Step 6: Final answer
    x = 10,290.16

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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.