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Finding the Fourth Proportional to 14,884.12, 22,328.34 and 8,965.72

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Solution

The fourth proportional to 14,884.12, 22,328.34 and 8,965.72 is: 13,449.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884.12 : 22,328.34 = 8,965.72 : x
  2. Step 2: Convert to fraction form
    14,884.12/22,328.34 = 8,965.72/x
  3. Step 3: Cross multiply
    14,884.12x = 22,328.34 × 8,965.72
  4. Step 4: Simplify right side
    14,884.12x = 200,189,644.50
  5. Step 5: Solve for x
    x = 200,189,644.50/14,884.12
  6. Step 6: Final answer
    x = 13,449.88

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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.