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Finding the Fourth Proportional to 23,807.45, 32,845.52 and 14,247.56

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Solution

The fourth proportional to 23,807.45, 32,845.52 and 14,247.56 is: 19,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.45 : 32,845.52 = 14,247.56 : x
  2. Step 2: Convert to fraction form
    23,807.45/32,845.52 = 14,247.56/x
  3. Step 3: Cross multiply
    23,807.45x = 32,845.52 × 14,247.56
  4. Step 4: Simplify right side
    23,807.45x = 467,968,634.66
  5. Step 5: Solve for x
    x = 467,968,634.66/23,807.45
  6. Step 6: Final answer
    x = 19,656.39

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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.