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Finding the Fourth Proportional to 15,200.19, 20,976.61 and 8,485.50

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Solution

The fourth proportional to 15,200.19, 20,976.61 and 8,485.50 is: 11,710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.19 : 20,976.61 = 8,485.50 : x
  2. Step 2: Convert to fraction form
    15,200.19/20,976.61 = 8,485.50/x
  3. Step 3: Cross multiply
    15,200.19x = 20,976.61 × 8,485.50
  4. Step 4: Simplify right side
    15,200.19x = 177,997,024.16
  5. Step 5: Solve for x
    x = 177,997,024.16/15,200.19
  6. Step 6: Final answer
    x = 11,710.18

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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.