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Finding the Fourth Proportional to 14,652.50, 20,219.27 and 8,279.64

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Solution

The fourth proportional to 14,652.50, 20,219.27 and 8,279.64 is: 11,425.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.50 : 20,219.27 = 8,279.64 : x
  2. Step 2: Convert to fraction form
    14,652.50/20,219.27 = 8,279.64/x
  3. Step 3: Cross multiply
    14,652.50x = 20,219.27 × 8,279.64
  4. Step 4: Simplify right side
    14,652.50x = 167,408,235.26
  5. Step 5: Solve for x
    x = 167,408,235.26/14,652.50
  6. Step 6: Final answer
    x = 11,425.24

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1.5x scale

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.