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Finding the Fourth Proportional to 14,926.22, 20,597.43 and 8,956.70

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Solution

The fourth proportional to 14,926.22, 20,597.43 and 8,956.70 is: 12,359.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,926.22 : 20,597.43 = 8,956.70 : x
  2. Step 2: Convert to fraction form
    14,926.22/20,597.43 = 8,956.70/x
  3. Step 3: Cross multiply
    14,926.22x = 20,597.43 × 8,956.70
  4. Step 4: Simplify right side
    14,926.22x = 184,485,001.28
  5. Step 5: Solve for x
    x = 184,485,001.28/14,926.22
  6. Step 6: Final answer
    x = 12,359.79

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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.