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Finding the Fourth Proportional to 23,915.25, 35,878.01 and 7,276.64

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Solution

The fourth proportional to 23,915.25, 35,878.01 and 7,276.64 is: 10,916.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,915.25 : 35,878.01 = 7,276.64 : x
  2. Step 2: Convert to fraction form
    23,915.25/35,878.01 = 7,276.64/x
  3. Step 3: Cross multiply
    23,915.25x = 35,878.01 × 7,276.64
  4. Step 4: Simplify right side
    23,915.25x = 261,071,146.91
  5. Step 5: Solve for x
    x = 261,071,146.91/23,915.25
  6. Step 6: Final answer
    x = 10,916.51

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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.