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Finding the Fourth Proportional to 12,766.65, 17,613.09 and 9,417.48

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Solution

The fourth proportional to 12,766.65, 17,613.09 and 9,417.48 is: 12,992.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.65 : 17,613.09 = 9,417.48 : x
  2. Step 2: Convert to fraction form
    12,766.65/17,613.09 = 9,417.48/x
  3. Step 3: Cross multiply
    12,766.65x = 17,613.09 × 9,417.48
  4. Step 4: Simplify right side
    12,766.65x = 165,870,922.81
  5. Step 5: Solve for x
    x = 165,870,922.81/12,766.65
  6. Step 6: Final answer
    x = 12,992.52

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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.