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Finding the Fourth Proportional to 22,764, 34,151.08 and 6,971.25

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Solution

The fourth proportional to 22,764, 34,151.08 and 6,971.25 is: 10,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,764 : 34,151.08 = 6,971.25 : x
  2. Step 2: Convert to fraction form
    22,764/34,151.08 = 6,971.25/x
  3. Step 3: Cross multiply
    22,764x = 34,151.08 × 6,971.25
  4. Step 4: Simplify right side
    22,764x = 238,075,716.45
  5. Step 5: Solve for x
    x = 238,075,716.45/22,764
  6. Step 6: Final answer
    x = 10,458.43

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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.