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Finding the Fourth Proportional to 12,838.84, 19,258.38 and 4,073.80

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Solution

The fourth proportional to 12,838.84, 19,258.38 and 4,073.80 is: 6,110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.84 : 19,258.38 = 4,073.80 : x
  2. Step 2: Convert to fraction form
    12,838.84/19,258.38 = 4,073.80/x
  3. Step 3: Cross multiply
    12,838.84x = 19,258.38 × 4,073.80
  4. Step 4: Simplify right side
    12,838.84x = 78,454,788.44
  5. Step 5: Solve for x
    x = 78,454,788.44/12,838.84
  6. Step 6: Final answer
    x = 6,110.74

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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.