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Finding the Fourth Proportional to 13,996.86, 19,314.96 and 7,709.10

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Solution

The fourth proportional to 13,996.86, 19,314.96 and 7,709.10 is: 10,638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,996.86 : 19,314.96 = 7,709.10 : x
  2. Step 2: Convert to fraction form
    13,996.86/19,314.96 = 7,709.10/x
  3. Step 3: Cross multiply
    13,996.86x = 19,314.96 × 7,709.10
  4. Step 4: Simplify right side
    13,996.86x = 148,900,958.14
  5. Step 5: Solve for x
    x = 148,900,958.14/13,996.86
  6. Step 6: Final answer
    x = 10,638.17

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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.