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Finding the Fourth Proportional to 22,106.25, 30,506.63 and 12,680.28

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Solution

The fourth proportional to 22,106.25, 30,506.63 and 12,680.28 is: 17,498.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,106.25 : 30,506.63 = 12,680.28 : x
  2. Step 2: Convert to fraction form
    22,106.25/30,506.63 = 12,680.28/x
  3. Step 3: Cross multiply
    22,106.25x = 30,506.63 × 12,680.28
  4. Step 4: Simplify right side
    22,106.25x = 386,832,546.86
  5. Step 5: Solve for x
    x = 386,832,546.86/22,106.25
  6. Step 6: Final answer
    x = 17,498.79

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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.