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Finding the Fourth Proportional to 15,755.78, 23,637.77 and 5,895.82

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Solution

The fourth proportional to 15,755.78, 23,637.77 and 5,895.82 is: 8,845.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,755.78 : 23,637.77 = 5,895.82 : x
  2. Step 2: Convert to fraction form
    15,755.78/23,637.77 = 5,895.82/x
  3. Step 3: Cross multiply
    15,755.78x = 23,637.77 × 5,895.82
  4. Step 4: Simplify right side
    15,755.78x = 139,364,037.12
  5. Step 5: Solve for x
    x = 139,364,037.12/15,755.78
  6. Step 6: Final answer
    x = 8,845.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.