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Finding the Fourth Proportional to 13,865.82, 19,134.89 and 7,578.19

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Solution

The fourth proportional to 13,865.82, 19,134.89 and 7,578.19 is: 10,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.82 : 19,134.89 = 7,578.19 : x
  2. Step 2: Convert to fraction form
    13,865.82/19,134.89 = 7,578.19/x
  3. Step 3: Cross multiply
    13,865.82x = 19,134.89 × 7,578.19
  4. Step 4: Simplify right side
    13,865.82x = 145,007,832.05
  5. Step 5: Solve for x
    x = 145,007,832.05/13,865.82
  6. Step 6: Final answer
    x = 10,457.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.