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Finding the Fourth Proportional to 12,796, 19,196.38 and 4,475.82

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Solution

The fourth proportional to 12,796, 19,196.38 and 4,475.82 is: 6,714.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,796 : 19,196.38 = 4,475.82 : x
  2. Step 2: Convert to fraction form
    12,796/19,196.38 = 4,475.82/x
  3. Step 3: Cross multiply
    12,796x = 19,196.38 × 4,475.82
  4. Step 4: Simplify right side
    12,796x = 85,919,541.53
  5. Step 5: Solve for x
    x = 85,919,541.53/12,796
  6. Step 6: Final answer
    x = 6,714.56

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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.