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Finding the Fourth Proportional to 12,191.40, 18,289.10 and 4,291.88

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Solution

The fourth proportional to 12,191.40, 18,289.10 and 4,291.88 is: 6,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.40 : 18,289.10 = 4,291.88 : x
  2. Step 2: Convert to fraction form
    12,191.40/18,289.10 = 4,291.88/x
  3. Step 3: Cross multiply
    12,191.40x = 18,289.10 × 4,291.88
  4. Step 4: Simplify right side
    12,191.40x = 78,494,622.51
  5. Step 5: Solve for x
    x = 78,494,622.51/12,191.40
  6. Step 6: Final answer
    x = 6,438.52

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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.