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Finding the Fourth Proportional to 12,832.60, 19,214.16 and 6,663.64

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Solution

The fourth proportional to 12,832.60, 19,214.16 and 6,663.64 is: 9,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.60 : 19,214.16 = 6,663.64 : x
  2. Step 2: Convert to fraction form
    12,832.60/19,214.16 = 6,663.64/x
  3. Step 3: Cross multiply
    12,832.60x = 19,214.16 × 6,663.64
  4. Step 4: Simplify right side
    12,832.60x = 128,036,245.14
  5. Step 5: Solve for x
    x = 128,036,245.14/12,832.60
  6. Step 6: Final answer
    x = 9,977.42

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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.