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Finding the Fourth Proportional to 13,043.72, 19,569.82 and 5,650.44

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Solution

The fourth proportional to 13,043.72, 19,569.82 and 5,650.44 is: 8,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,043.72 : 19,569.82 = 5,650.44 : x
  2. Step 2: Convert to fraction form
    13,043.72/19,569.82 = 5,650.44/x
  3. Step 3: Cross multiply
    13,043.72x = 19,569.82 × 5,650.44
  4. Step 4: Simplify right side
    13,043.72x = 110,578,093.72
  5. Step 5: Solve for x
    x = 110,578,093.72/13,043.72
  6. Step 6: Final answer
    x = 8,477.50

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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.