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Finding the Fourth Proportional to 22,720.56, 34,075.26 and 7,138.14

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Solution

The fourth proportional to 22,720.56, 34,075.26 and 7,138.14 is: 10,705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,720.56 : 34,075.26 = 7,138.14 : x
  2. Step 2: Convert to fraction form
    22,720.56/34,075.26 = 7,138.14/x
  3. Step 3: Cross multiply
    22,720.56x = 34,075.26 × 7,138.14
  4. Step 4: Simplify right side
    22,720.56x = 243,233,976.42
  5. Step 5: Solve for x
    x = 243,233,976.42/22,720.56
  6. Step 6: Final answer
    x = 10,705.46

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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.