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Finding the Fourth Proportional to 21,661.38, 29,892.71 and 12,230.55

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Solution

The fourth proportional to 21,661.38, 29,892.71 and 12,230.55 is: 16,878.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,661.38 : 29,892.71 = 12,230.55 : x
  2. Step 2: Convert to fraction form
    21,661.38/29,892.71 = 12,230.55/x
  3. Step 3: Cross multiply
    21,661.38x = 29,892.71 × 12,230.55
  4. Step 4: Simplify right side
    21,661.38x = 365,604,284.29
  5. Step 5: Solve for x
    x = 365,604,284.29/21,661.38
  6. Step 6: Final answer
    x = 16,878.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.