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Finding the Fourth Proportional to 22,855.84, 34,287.60 and 7,278.24

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Solution

The fourth proportional to 22,855.84, 34,287.60 and 7,278.24 is: 10,918.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,855.84 : 34,287.60 = 7,278.24 : x
  2. Step 2: Convert to fraction form
    22,855.84/34,287.60 = 7,278.24/x
  3. Step 3: Cross multiply
    22,855.84x = 34,287.60 × 7,278.24
  4. Step 4: Simplify right side
    22,855.84x = 249,553,381.82
  5. Step 5: Solve for x
    x = 249,553,381.82/22,855.84
  6. Step 6: Final answer
    x = 10,918.58

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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.