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Finding the Fourth Proportional to 14,691.40, 22,046.55 and 8,122.30

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Solution

The fourth proportional to 14,691.40, 22,046.55 and 8,122.30 is: 12,188.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691.40 : 22,046.55 = 8,122.30 : x
  2. Step 2: Convert to fraction form
    14,691.40/22,046.55 = 8,122.30/x
  3. Step 3: Cross multiply
    14,691.40x = 22,046.55 × 8,122.30
  4. Step 4: Simplify right side
    14,691.40x = 179,068,693.07
  5. Step 5: Solve for x
    x = 179,068,693.07/14,691.40
  6. Step 6: Final answer
    x = 12,188.67

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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.