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Finding the Fourth Proportional to 12,197.01, 18,291.90 and 5,176.93

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Solution

The fourth proportional to 12,197.01, 18,291.90 and 5,176.93 is: 7,763.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.01 : 18,291.90 = 5,176.93 : x
  2. Step 2: Convert to fraction form
    12,197.01/18,291.90 = 5,176.93/x
  3. Step 3: Cross multiply
    12,197.01x = 18,291.90 × 5,176.93
  4. Step 4: Simplify right side
    12,197.01x = 94,695,885.87
  5. Step 5: Solve for x
    x = 94,695,885.87/12,197.01
  6. Step 6: Final answer
    x = 7,763.86

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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.