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Finding the Fourth Proportional to 13,031.92, 19,548.06 and 5,636.44

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Solution

The fourth proportional to 13,031.92, 19,548.06 and 5,636.44 is: 8,454.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.92 : 19,548.06 = 5,636.44 : x
  2. Step 2: Convert to fraction form
    13,031.92/19,548.06 = 5,636.44/x
  3. Step 3: Cross multiply
    13,031.92x = 19,548.06 × 5,636.44
  4. Step 4: Simplify right side
    13,031.92x = 110,181,467.31
  5. Step 5: Solve for x
    x = 110,181,467.31/13,031.92
  6. Step 6: Final answer
    x = 8,454.74

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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.