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Finding the Fourth Proportional to 12,197.86, 18,290.31 and 4,802.02

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Solution

The fourth proportional to 12,197.86, 18,290.31 and 4,802.02 is: 7,200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.86 : 18,290.31 = 4,802.02 : x
  2. Step 2: Convert to fraction form
    12,197.86/18,290.31 = 4,802.02/x
  3. Step 3: Cross multiply
    12,197.86x = 18,290.31 × 4,802.02
  4. Step 4: Simplify right side
    12,197.86x = 87,830,434.43
  5. Step 5: Solve for x
    x = 87,830,434.43/12,197.86
  6. Step 6: Final answer
    x = 7,200.48

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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.