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Finding the Fourth Proportional to 14,908.86, 20,573.19 and 8,194.32

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Solution

The fourth proportional to 14,908.86, 20,573.19 and 8,194.32 is: 11,307.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,908.86 : 20,573.19 = 8,194.32 : x
  2. Step 2: Convert to fraction form
    14,908.86/20,573.19 = 8,194.32/x
  3. Step 3: Cross multiply
    14,908.86x = 20,573.19 × 8,194.32
  4. Step 4: Simplify right side
    14,908.86x = 168,583,302.28
  5. Step 5: Solve for x
    x = 168,583,302.28/14,908.86
  6. Step 6: Final answer
    x = 11,307.59

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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.