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Finding the Fourth Proportional to 22,100.16, 30,498.08 and 12,164.16

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Solution

The fourth proportional to 22,100.16, 30,498.08 and 12,164.16 is: 16,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,100.16 : 30,498.08 = 12,164.16 : x
  2. Step 2: Convert to fraction form
    22,100.16/30,498.08 = 12,164.16/x
  3. Step 3: Cross multiply
    22,100.16x = 30,498.08 × 12,164.16
  4. Step 4: Simplify right side
    22,100.16x = 370,983,524.81
  5. Step 5: Solve for x
    x = 370,983,524.81/22,100.16
  6. Step 6: Final answer
    x = 16,786.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.