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Finding the Fourth Proportional to 14,680.97, 22,023.75 and 4,818

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Solution

The fourth proportional to 14,680.97, 22,023.75 and 4,818 is: 7,227.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,680.97 : 22,023.75 = 4,818 : x
  2. Step 2: Convert to fraction form
    14,680.97/22,023.75 = 4,818/x
  3. Step 3: Cross multiply
    14,680.97x = 22,023.75 × 4,818
  4. Step 4: Simplify right side
    14,680.97x = 106,110,427.50
  5. Step 5: Solve for x
    x = 106,110,427.50/14,680.97
  6. Step 6: Final answer
    x = 7,227.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.