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Finding the Fourth Proportional to 16,978.08, 25,467.44 and 5,885.13

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Solution

The fourth proportional to 16,978.08, 25,467.44 and 5,885.13 is: 8,827.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,978.08 : 25,467.44 = 5,885.13 : x
  2. Step 2: Convert to fraction form
    16,978.08/25,467.44 = 5,885.13/x
  3. Step 3: Cross multiply
    16,978.08x = 25,467.44 × 5,885.13
  4. Step 4: Simplify right side
    16,978.08x = 149,879,165.74
  5. Step 5: Solve for x
    x = 149,879,165.74/16,978.08
  6. Step 6: Final answer
    x = 8,827.80

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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.