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Finding the Fourth Proportional to 12,773.96, 19,159.32 and 9,491.84

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Solution

The fourth proportional to 12,773.96, 19,159.32 and 9,491.84 is: 14,236.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.96 : 19,159.32 = 9,491.84 : x
  2. Step 2: Convert to fraction form
    12,773.96/19,159.32 = 9,491.84/x
  3. Step 3: Cross multiply
    12,773.96x = 19,159.32 × 9,491.84
  4. Step 4: Simplify right side
    12,773.96x = 181,857,199.95
  5. Step 5: Solve for x
    x = 181,857,199.95/12,773.96
  6. Step 6: Final answer
    x = 14,236.56

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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.