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Finding the Fourth Proportional to 14,724.16, 20,311.44 and 10,240.11

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Solution

The fourth proportional to 14,724.16, 20,311.44 and 10,240.11 is: 14,125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,724.16 : 20,311.44 = 10,240.11 : x
  2. Step 2: Convert to fraction form
    14,724.16/20,311.44 = 10,240.11/x
  3. Step 3: Cross multiply
    14,724.16x = 20,311.44 × 10,240.11
  4. Step 4: Simplify right side
    14,724.16x = 207,991,379.86
  5. Step 5: Solve for x
    x = 207,991,379.86/14,724.16
  6. Step 6: Final answer
    x = 14,125.86

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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.