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Finding the Fourth Proportional to 13,865.84, 19,134.81 and 7,578.21

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Solution

The fourth proportional to 13,865.84, 19,134.81 and 7,578.21 is: 10,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.84 : 19,134.81 = 7,578.21 : x
  2. Step 2: Convert to fraction form
    13,865.84/19,134.81 = 7,578.21/x
  3. Step 3: Cross multiply
    13,865.84x = 19,134.81 × 7,578.21
  4. Step 4: Simplify right side
    13,865.84x = 145,007,608.49
  5. Step 5: Solve for x
    x = 145,007,608.49/13,865.84
  6. Step 6: Final answer
    x = 10,457.90

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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.