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Finding the Fourth Proportional to 19,718.42, 27,211.50 and 10,766.12

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Solution

The fourth proportional to 19,718.42, 27,211.50 and 10,766.12 is: 14,857.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,718.42 : 27,211.50 = 10,766.12 : x
  2. Step 2: Convert to fraction form
    19,718.42/27,211.50 = 10,766.12/x
  3. Step 3: Cross multiply
    19,718.42x = 27,211.50 × 10,766.12
  4. Step 4: Simplify right side
    19,718.42x = 292,962,274.38
  5. Step 5: Solve for x
    x = 292,962,274.38/19,718.42
  6. Step 6: Final answer
    x = 14,857.29

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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.