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Finding the Fourth Proportional to 22,853.84, 34,284.60 and 7,276.24

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Solution

The fourth proportional to 22,853.84, 34,284.60 and 7,276.24 is: 10,915.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,853.84 : 34,284.60 = 7,276.24 : x
  2. Step 2: Convert to fraction form
    22,853.84/34,284.60 = 7,276.24/x
  3. Step 3: Cross multiply
    22,853.84x = 34,284.60 × 7,276.24
  4. Step 4: Simplify right side
    22,853.84x = 249,462,977.90
  5. Step 5: Solve for x
    x = 249,462,977.90/22,853.84
  6. Step 6: Final answer
    x = 10,915.58

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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.