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Finding the Fourth Proportional to 19,827.35, 27,364.03 and 11,869.57

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Solution

The fourth proportional to 19,827.35, 27,364.03 and 11,869.57 is: 16,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827.35 : 27,364.03 = 11,869.57 : x
  2. Step 2: Convert to fraction form
    19,827.35/27,364.03 = 11,869.57/x
  3. Step 3: Cross multiply
    19,827.35x = 27,364.03 × 11,869.57
  4. Step 4: Simplify right side
    19,827.35x = 324,799,274.10
  5. Step 5: Solve for x
    x = 324,799,274.10/19,827.35
  6. Step 6: Final answer
    x = 16,381.38

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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.