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Finding the Fourth Proportional to 12,601.65, 17,392.91 and 7,566.09

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Solution

The fourth proportional to 12,601.65, 17,392.91 and 7,566.09 is: 10,442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,601.65 : 17,392.91 = 7,566.09 : x
  2. Step 2: Convert to fraction form
    12,601.65/17,392.91 = 7,566.09/x
  3. Step 3: Cross multiply
    12,601.65x = 17,392.91 × 7,566.09
  4. Step 4: Simplify right side
    12,601.65x = 131,596,322.42
  5. Step 5: Solve for x
    x = 131,596,322.42/12,601.65
  6. Step 6: Final answer
    x = 10,442.79

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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.