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Finding the Fourth Proportional to 15,664.14, 21,617.14 and 8,590.82

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Solution

The fourth proportional to 15,664.14, 21,617.14 and 8,590.82 is: 11,855.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,664.14 : 21,617.14 = 8,590.82 : x
  2. Step 2: Convert to fraction form
    15,664.14/21,617.14 = 8,590.82/x
  3. Step 3: Cross multiply
    15,664.14x = 21,617.14 × 8,590.82
  4. Step 4: Simplify right side
    15,664.14x = 185,708,958.65
  5. Step 5: Solve for x
    x = 185,708,958.65/15,664.14
  6. Step 6: Final answer
    x = 11,855.68

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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.