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Finding the Fourth Proportional to 14,963.19, 20,649.10 and 8,248.82

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Solution

The fourth proportional to 14,963.19, 20,649.10 and 8,248.82 is: 11,383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,963.19 : 20,649.10 = 8,248.82 : x
  2. Step 2: Convert to fraction form
    14,963.19/20,649.10 = 8,248.82/x
  3. Step 3: Cross multiply
    14,963.19x = 20,649.10 × 8,248.82
  4. Step 4: Simplify right side
    14,963.19x = 170,330,709.06
  5. Step 5: Solve for x
    x = 170,330,709.06/14,963.19
  6. Step 6: Final answer
    x = 11,383.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.