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Finding the Fourth Proportional to 14,902.57, 20,565.66 and 8,188.02

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Solution

The fourth proportional to 14,902.57, 20,565.66 and 8,188.02 is: 11,299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.57 : 20,565.66 = 8,188.02 : x
  2. Step 2: Convert to fraction form
    14,902.57/20,565.66 = 8,188.02/x
  3. Step 3: Cross multiply
    14,902.57x = 20,565.66 × 8,188.02
  4. Step 4: Simplify right side
    14,902.57x = 168,392,035.39
  5. Step 5: Solve for x
    x = 168,392,035.39/14,902.57
  6. Step 6: Final answer
    x = 11,299.53

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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.