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Finding the Fourth Proportional to 14,934.67, 20,608.63 and 8,219.23

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Solution

The fourth proportional to 14,934.67, 20,608.63 and 8,219.23 is: 11,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,934.67 : 20,608.63 = 8,219.23 : x
  2. Step 2: Convert to fraction form
    14,934.67/20,608.63 = 8,219.23/x
  3. Step 3: Cross multiply
    14,934.67x = 20,608.63 × 8,219.23
  4. Step 4: Simplify right side
    14,934.67x = 169,387,069.95
  5. Step 5: Solve for x
    x = 169,387,069.95/14,934.67
  6. Step 6: Final answer
    x = 11,341.87

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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.