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Finding the Fourth Proportional to 14,808.16, 20,444.16 and 9,226.72

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Solution

The fourth proportional to 14,808.16, 20,444.16 and 9,226.72 is: 12,738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,808.16 : 20,444.16 = 9,226.72 : x
  2. Step 2: Convert to fraction form
    14,808.16/20,444.16 = 9,226.72/x
  3. Step 3: Cross multiply
    14,808.16x = 20,444.16 × 9,226.72
  4. Step 4: Simplify right side
    14,808.16x = 188,632,539.96
  5. Step 5: Solve for x
    x = 188,632,539.96/14,808.16
  6. Step 6: Final answer
    x = 12,738.42

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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.