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Finding the Fourth Proportional to 17,845.66, 24,627.05 and 9,887.94

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Solution

The fourth proportional to 17,845.66, 24,627.05 and 9,887.94 is: 13,645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,845.66 : 24,627.05 = 9,887.94 : x
  2. Step 2: Convert to fraction form
    17,845.66/24,627.05 = 9,887.94/x
  3. Step 3: Cross multiply
    17,845.66x = 24,627.05 × 9,887.94
  4. Step 4: Simplify right side
    17,845.66x = 243,510,792.78
  5. Step 5: Solve for x
    x = 243,510,792.78/17,845.66
  6. Step 6: Final answer
    x = 13,645.38

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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.