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Finding the Fourth Proportional to 13,865.73, 19,134.68 and 7,578.15

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Solution

The fourth proportional to 13,865.73, 19,134.68 and 7,578.15 is: 10,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.73 : 19,134.68 = 7,578.15 : x
  2. Step 2: Convert to fraction form
    13,865.73/19,134.68 = 7,578.15/x
  3. Step 3: Cross multiply
    13,865.73x = 19,134.68 × 7,578.15
  4. Step 4: Simplify right side
    13,865.73x = 145,005,437.35
  5. Step 5: Solve for x
    x = 145,005,437.35/13,865.73
  6. Step 6: Final answer
    x = 10,457.83

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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.