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Finding the Fourth Proportional to 12,649.46, 18,963.93 and 9,523.47

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Solution

The fourth proportional to 12,649.46, 18,963.93 and 9,523.47 is: 14,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.46 : 18,963.93 = 9,523.47 : x
  2. Step 2: Convert to fraction form
    12,649.46/18,963.93 = 9,523.47/x
  3. Step 3: Cross multiply
    12,649.46x = 18,963.93 × 9,523.47
  4. Step 4: Simplify right side
    12,649.46x = 180,602,418.44
  5. Step 5: Solve for x
    x = 180,602,418.44/12,649.46
  6. Step 6: Final answer
    x = 14,277.48

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