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Finding the Fourth Proportional to 21,614.25, 29,827.67 and 11,678.25

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Solution

The fourth proportional to 21,614.25, 29,827.67 and 11,678.25 is: 16,115.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614.25 : 29,827.67 = 11,678.25 : x
  2. Step 2: Convert to fraction form
    21,614.25/29,827.67 = 11,678.25/x
  3. Step 3: Cross multiply
    21,614.25x = 29,827.67 × 11,678.25
  4. Step 4: Simplify right side
    21,614.25x = 348,334,928.79
  5. Step 5: Solve for x
    x = 348,334,928.79/21,614.25
  6. Step 6: Final answer
    x = 16,115.99

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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.