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Finding the Fourth Proportional to 13,765.11, 18,997.37 and 7,715.93

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Solution

The fourth proportional to 13,765.11, 18,997.37 and 7,715.93 is: 10,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.11 : 18,997.37 = 7,715.93 : x
  2. Step 2: Convert to fraction form
    13,765.11/18,997.37 = 7,715.93/x
  3. Step 3: Cross multiply
    13,765.11x = 18,997.37 × 7,715.93
  4. Step 4: Simplify right side
    13,765.11x = 146,582,501.21
  5. Step 5: Solve for x
    x = 146,582,501.21/13,765.11
  6. Step 6: Final answer
    x = 10,648.84

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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.