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Finding the Fourth Proportional to 16,642.44, 24,969.06 and 6,255

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Solution

The fourth proportional to 16,642.44, 24,969.06 and 6,255 is: 9,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.44 : 24,969.06 = 6,255 : x
  2. Step 2: Convert to fraction form
    16,642.44/24,969.06 = 6,255/x
  3. Step 3: Cross multiply
    16,642.44x = 24,969.06 × 6,255
  4. Step 4: Simplify right side
    16,642.44x = 156,181,470.30
  5. Step 5: Solve for x
    x = 156,181,470.30/16,642.44
  6. Step 6: Final answer
    x = 9,384.53

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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.