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Finding the Fourth Proportional to 14,524.08, 20,015.12 and 9,800.16

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Solution

The fourth proportional to 14,524.08, 20,015.12 and 9,800.16 is: 13,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,524.08 : 20,015.12 = 9,800.16 : x
  2. Step 2: Convert to fraction form
    14,524.08/20,015.12 = 9,800.16/x
  3. Step 3: Cross multiply
    14,524.08x = 20,015.12 × 9,800.16
  4. Step 4: Simplify right side
    14,524.08x = 196,151,378.42
  5. Step 5: Solve for x
    x = 196,151,378.42/14,524.08
  6. Step 6: Final answer
    x = 13,505.25

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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.