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Finding the Fourth Proportional to 14,728.48, 20,325.84 and 8,442.08

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Solution

The fourth proportional to 14,728.48, 20,325.84 and 8,442.08 is: 11,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,728.48 : 20,325.84 = 8,442.08 : x
  2. Step 2: Convert to fraction form
    14,728.48/20,325.84 = 8,442.08/x
  3. Step 3: Cross multiply
    14,728.48x = 20,325.84 × 8,442.08
  4. Step 4: Simplify right side
    14,728.48x = 171,592,367.35
  5. Step 5: Solve for x
    x = 171,592,367.35/14,728.48
  6. Step 6: Final answer
    x = 11,650.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.