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Finding the Fourth Proportional to 25,915.14, 38,878.47 and 8,384.58

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Solution

The fourth proportional to 25,915.14, 38,878.47 and 8,384.58 is: 12,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,915.14 : 38,878.47 = 8,384.58 : x
  2. Step 2: Convert to fraction form
    25,915.14/38,878.47 = 8,384.58/x
  3. Step 3: Cross multiply
    25,915.14x = 38,878.47 × 8,384.58
  4. Step 4: Simplify right side
    25,915.14x = 325,979,641.99
  5. Step 5: Solve for x
    x = 325,979,641.99/25,915.14
  6. Step 6: Final answer
    x = 12,578.73

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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.