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Finding the Fourth Proportional to 14,382, 19,845.60 and 8,093.28

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Solution

The fourth proportional to 14,382, 19,845.60 and 8,093.28 is: 11,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382 : 19,845.60 = 8,093.28 : x
  2. Step 2: Convert to fraction form
    14,382/19,845.60 = 8,093.28/x
  3. Step 3: Cross multiply
    14,382x = 19,845.60 × 8,093.28
  4. Step 4: Simplify right side
    14,382x = 160,615,997.57
  5. Step 5: Solve for x
    x = 160,615,997.57/14,382
  6. Step 6: Final answer
    x = 11,167.85

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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.