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Finding the Fourth Proportional to 22,718.40, 34,075.16 and 7,927.59

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Solution

The fourth proportional to 22,718.40, 34,075.16 and 7,927.59 is: 11,890.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,718.40 : 34,075.16 = 7,927.59 : x
  2. Step 2: Convert to fraction form
    22,718.40/34,075.16 = 7,927.59/x
  3. Step 3: Cross multiply
    22,718.40x = 34,075.16 × 7,927.59
  4. Step 4: Simplify right side
    22,718.40x = 270,133,963.03
  5. Step 5: Solve for x
    x = 270,133,963.03/22,718.40
  6. Step 6: Final answer
    x = 11,890.54

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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.