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Finding the Fourth Proportional to 14,937.68, 20,612.76 and 8,222.24

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Solution

The fourth proportional to 14,937.68, 20,612.76 and 8,222.24 is: 11,346.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,937.68 : 20,612.76 = 8,222.24 : x
  2. Step 2: Convert to fraction form
    14,937.68/20,612.76 = 8,222.24/x
  3. Step 3: Cross multiply
    14,937.68x = 20,612.76 × 8,222.24
  4. Step 4: Simplify right side
    14,937.68x = 169,483,059.78
  5. Step 5: Solve for x
    x = 169,483,059.78/14,937.68
  6. Step 6: Final answer
    x = 11,346.01

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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.