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Finding the Fourth Proportional to 15,198.50, 20,970.24 and 8,909.66

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Solution

The fourth proportional to 15,198.50, 20,970.24 and 8,909.66 is: 12,293.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198.50 : 20,970.24 = 8,909.66 : x
  2. Step 2: Convert to fraction form
    15,198.50/20,970.24 = 8,909.66/x
  3. Step 3: Cross multiply
    15,198.50x = 20,970.24 × 8,909.66
  4. Step 4: Simplify right side
    15,198.50x = 186,837,708.52
  5. Step 5: Solve for x
    x = 186,837,708.52/15,198.50
  6. Step 6: Final answer
    x = 12,293.17

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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.