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Finding the Fourth Proportional to 19,855.83, 29,787.14 and 6,705.08

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Solution

The fourth proportional to 19,855.83, 29,787.14 and 6,705.08 is: 10,058.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,855.83 : 29,787.14 = 6,705.08 : x
  2. Step 2: Convert to fraction form
    19,855.83/29,787.14 = 6,705.08/x
  3. Step 3: Cross multiply
    19,855.83x = 29,787.14 × 6,705.08
  4. Step 4: Simplify right side
    19,855.83x = 199,725,136.20
  5. Step 5: Solve for x
    x = 199,725,136.20/19,855.83
  6. Step 6: Final answer
    x = 10,058.76

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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.