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Finding the Fourth Proportional to 12,694.06, 19,038 and 5,298.58

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Solution

The fourth proportional to 12,694.06, 19,038 and 5,298.58 is: 7,946.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.06 : 19,038 = 5,298.58 : x
  2. Step 2: Convert to fraction form
    12,694.06/19,038 = 5,298.58/x
  3. Step 3: Cross multiply
    12,694.06x = 19,038 × 5,298.58
  4. Step 4: Simplify right side
    12,694.06x = 100,874,366.04
  5. Step 5: Solve for x
    x = 100,874,366.04/12,694.06
  6. Step 6: Final answer
    x = 7,946.58

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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.