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Finding the Fourth Proportional to 13,839.13, 19,096.06 and 7,870.13

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Solution

The fourth proportional to 13,839.13, 19,096.06 and 7,870.13 is: 10,859.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,839.13 : 19,096.06 = 7,870.13 : x
  2. Step 2: Convert to fraction form
    13,839.13/19,096.06 = 7,870.13/x
  3. Step 3: Cross multiply
    13,839.13x = 19,096.06 × 7,870.13
  4. Step 4: Simplify right side
    13,839.13x = 150,288,474.69
  5. Step 5: Solve for x
    x = 150,288,474.69/13,839.13
  6. Step 6: Final answer
    x = 10,859.68

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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.