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Finding the Fourth Proportional to 15,198.17, 22,782.67 and 4,802.63

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Solution

The fourth proportional to 15,198.17, 22,782.67 and 4,802.63 is: 7,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198.17 : 22,782.67 = 4,802.63 : x
  2. Step 2: Convert to fraction form
    15,198.17/22,782.67 = 4,802.63/x
  3. Step 3: Cross multiply
    15,198.17x = 22,782.67 × 4,802.63
  4. Step 4: Simplify right side
    15,198.17x = 109,416,608.50
  5. Step 5: Solve for x
    x = 109,416,608.50/15,198.17
  6. Step 6: Final answer
    x = 7,199.33

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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.