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Finding the Fourth Proportional to 19,300.24, 28,927.68 and 8,200

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Solution

The fourth proportional to 19,300.24, 28,927.68 and 8,200 is: 12,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,300.24 : 28,927.68 = 8,200 : x
  2. Step 2: Convert to fraction form
    19,300.24/28,927.68 = 8,200/x
  3. Step 3: Cross multiply
    19,300.24x = 28,927.68 × 8,200
  4. Step 4: Simplify right side
    19,300.24x = 237,206,976
  5. Step 5: Solve for x
    x = 237,206,976/19,300.24
  6. Step 6: Final answer
    x = 12,290.36

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