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Finding the Fourth Proportional to 14,224.78, 19,633.71 and 8,640.46

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Solution

The fourth proportional to 14,224.78, 19,633.71 and 8,640.46 is: 11,925.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224.78 : 19,633.71 = 8,640.46 : x
  2. Step 2: Convert to fraction form
    14,224.78/19,633.71 = 8,640.46/x
  3. Step 3: Cross multiply
    14,224.78x = 19,633.71 × 8,640.46
  4. Step 4: Simplify right side
    14,224.78x = 169,644,285.91
  5. Step 5: Solve for x
    x = 169,644,285.91/14,224.78
  6. Step 6: Final answer
    x = 11,925.97

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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.