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Finding the Fourth Proportional to 12,773.60, 19,162.32 and 6,530.24

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Solution

The fourth proportional to 12,773.60, 19,162.32 and 6,530.24 is: 9,796.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.60 : 19,162.32 = 6,530.24 : x
  2. Step 2: Convert to fraction form
    12,773.60/19,162.32 = 6,530.24/x
  3. Step 3: Cross multiply
    12,773.60x = 19,162.32 × 6,530.24
  4. Step 4: Simplify right side
    12,773.60x = 125,134,548.56
  5. Step 5: Solve for x
    x = 125,134,548.56/12,773.60
  6. Step 6: Final answer
    x = 9,796.34

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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.