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Finding the Fourth Proportional to 14,951.16, 20,632.34 and 8,237.41

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Solution

The fourth proportional to 14,951.16, 20,632.34 and 8,237.41 is: 11,367.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,951.16 : 20,632.34 = 8,237.41 : x
  2. Step 2: Convert to fraction form
    14,951.16/20,632.34 = 8,237.41/x
  3. Step 3: Cross multiply
    14,951.16x = 20,632.34 × 8,237.41
  4. Step 4: Simplify right side
    14,951.16x = 169,956,899.49
  5. Step 5: Solve for x
    x = 169,956,899.49/14,951.16
  6. Step 6: Final answer
    x = 11,367.47

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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.