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Finding the Fourth Proportional to 19,671.94, 29,508.99 and 5,822.02

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Solution

The fourth proportional to 19,671.94, 29,508.99 and 5,822.02 is: 8,733.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671.94 : 29,508.99 = 5,822.02 : x
  2. Step 2: Convert to fraction form
    19,671.94/29,508.99 = 5,822.02/x
  3. Step 3: Cross multiply
    19,671.94x = 29,508.99 × 5,822.02
  4. Step 4: Simplify right side
    19,671.94x = 171,801,929.96
  5. Step 5: Solve for x
    x = 171,801,929.96/19,671.94
  6. Step 6: Final answer
    x = 8,733.35

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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.