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Finding the Fourth Proportional to 12,832.92, 19,267.28 and 6,598.22

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Solution

The fourth proportional to 12,832.92, 19,267.28 and 6,598.22 is: 9,906.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.92 : 19,267.28 = 6,598.22 : x
  2. Step 2: Convert to fraction form
    12,832.92/19,267.28 = 6,598.22/x
  3. Step 3: Cross multiply
    12,832.92x = 19,267.28 × 6,598.22
  4. Step 4: Simplify right side
    12,832.92x = 127,129,622.91
  5. Step 5: Solve for x
    x = 127,129,622.91/12,832.92
  6. Step 6: Final answer
    x = 9,906.52

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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.