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Finding the Fourth Proportional to 12,994.92, 19,498.14 and 4,785

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Solution

The fourth proportional to 12,994.92, 19,498.14 and 4,785 is: 7,179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994.92 : 19,498.14 = 4,785 : x
  2. Step 2: Convert to fraction form
    12,994.92/19,498.14 = 4,785/x
  3. Step 3: Cross multiply
    12,994.92x = 19,498.14 × 4,785
  4. Step 4: Simplify right side
    12,994.92x = 93,298,599.90
  5. Step 5: Solve for x
    x = 93,298,599.90/12,994.92
  6. Step 6: Final answer
    x = 7,179.62

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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.