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Finding the Fourth Proportional to 13,889.14, 20,828.10 and 5,122.10

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Solution

The fourth proportional to 13,889.14, 20,828.10 and 5,122.10 is: 7,681.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,889.14 : 20,828.10 = 5,122.10 : x
  2. Step 2: Convert to fraction form
    13,889.14/20,828.10 = 5,122.10/x
  3. Step 3: Cross multiply
    13,889.14x = 20,828.10 × 5,122.10
  4. Step 4: Simplify right side
    13,889.14x = 106,683,611.01
  5. Step 5: Solve for x
    x = 106,683,611.01/13,889.14
  6. Step 6: Final answer
    x = 7,681.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.