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Finding the Fourth Proportional to 16,442.88, 24,667 and 9,050.80

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Solution

The fourth proportional to 16,442.88, 24,667 and 9,050.80 is: 13,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442.88 : 24,667 = 9,050.80 : x
  2. Step 2: Convert to fraction form
    16,442.88/24,667 = 9,050.80/x
  3. Step 3: Cross multiply
    16,442.88x = 24,667 × 9,050.80
  4. Step 4: Simplify right side
    16,442.88x = 223,256,083.60
  5. Step 5: Solve for x
    x = 223,256,083.60/16,442.88
  6. Step 6: Final answer
    x = 13,577.68

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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.