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Finding the Fourth Proportional to 12,694.44, 19,044.44 and 3,809.40

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Solution

The fourth proportional to 12,694.44, 19,044.44 and 3,809.40 is: 5,714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.44 : 19,044.44 = 3,809.40 : x
  2. Step 2: Convert to fraction form
    12,694.44/19,044.44 = 3,809.40/x
  3. Step 3: Cross multiply
    12,694.44x = 19,044.44 × 3,809.40
  4. Step 4: Simplify right side
    12,694.44x = 72,547,889.74
  5. Step 5: Solve for x
    x = 72,547,889.74/12,694.44
  6. Step 6: Final answer
    x = 5,714.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.