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Finding the Fourth Proportional to 21,614.16, 29,827.56 and 11,678.16

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Solution

The fourth proportional to 21,614.16, 29,827.56 and 11,678.16 is: 16,115.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614.16 : 29,827.56 = 11,678.16 : x
  2. Step 2: Convert to fraction form
    21,614.16/29,827.56 = 11,678.16/x
  3. Step 3: Cross multiply
    21,614.16x = 29,827.56 × 11,678.16
  4. Step 4: Simplify right side
    21,614.16x = 348,331,018.09
  5. Step 5: Solve for x
    x = 348,331,018.09/21,614.16
  6. Step 6: Final answer
    x = 16,115.87

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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.