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Finding the Fourth Proportional to 23,028.20, 34,535.82 and 6,384.20

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Solution

The fourth proportional to 23,028.20, 34,535.82 and 6,384.20 is: 9,574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,028.20 : 34,535.82 = 6,384.20 : x
  2. Step 2: Convert to fraction form
    23,028.20/34,535.82 = 6,384.20/x
  3. Step 3: Cross multiply
    23,028.20x = 34,535.82 × 6,384.20
  4. Step 4: Simplify right side
    23,028.20x = 220,483,582.04
  5. Step 5: Solve for x
    x = 220,483,582.04/23,028.20
  6. Step 6: Final answer
    x = 9,574.50

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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.