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Finding the Fourth Proportional to 20,486.16, 30,728.52 and 6,445.80

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Solution

The fourth proportional to 20,486.16, 30,728.52 and 6,445.80 is: 9,668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,486.16 : 30,728.52 = 6,445.80 : x
  2. Step 2: Convert to fraction form
    20,486.16/30,728.52 = 6,445.80/x
  3. Step 3: Cross multiply
    20,486.16x = 30,728.52 × 6,445.80
  4. Step 4: Simplify right side
    20,486.16x = 198,069,894.22
  5. Step 5: Solve for x
    x = 198,069,894.22/20,486.16
  6. Step 6: Final answer
    x = 9,668.47

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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.