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Finding the Fourth Proportional to 14,635.71, 20,189.05 and 9,256.48

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Solution

The fourth proportional to 14,635.71, 20,189.05 and 9,256.48 is: 12,768.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,635.71 : 20,189.05 = 9,256.48 : x
  2. Step 2: Convert to fraction form
    14,635.71/20,189.05 = 9,256.48/x
  3. Step 3: Cross multiply
    14,635.71x = 20,189.05 × 9,256.48
  4. Step 4: Simplify right side
    14,635.71x = 186,879,463.93
  5. Step 5: Solve for x
    x = 186,879,463.93/14,635.71
  6. Step 6: Final answer
    x = 12,768.73

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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.