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Finding the Fourth Proportional to 14,762.96, 20,380.15 and 10,229.08

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Solution

The fourth proportional to 14,762.96, 20,380.15 and 10,229.08 is: 14,121.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762.96 : 20,380.15 = 10,229.08 : x
  2. Step 2: Convert to fraction form
    14,762.96/20,380.15 = 10,229.08/x
  3. Step 3: Cross multiply
    14,762.96x = 20,380.15 × 10,229.08
  4. Step 4: Simplify right side
    14,762.96x = 208,470,108.24
  5. Step 5: Solve for x
    x = 208,470,108.24/14,762.96
  6. Step 6: Final answer
    x = 14,121.16

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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.