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Finding the Fourth Proportional to 14,632.13, 20,190.86 and 8,258.13

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Solution

The fourth proportional to 14,632.13, 20,190.86 and 8,258.13 is: 11,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,632.13 : 20,190.86 = 8,258.13 : x
  2. Step 2: Convert to fraction form
    14,632.13/20,190.86 = 8,258.13/x
  3. Step 3: Cross multiply
    14,632.13x = 20,190.86 × 8,258.13
  4. Step 4: Simplify right side
    14,632.13x = 166,738,705.40
  5. Step 5: Solve for x
    x = 166,738,705.40/14,632.13
  6. Step 6: Final answer
    x = 11,395.39

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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.