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Finding the Fourth Proportional to 14,105.76, 19,466.62 and 7,818.14

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Solution

The fourth proportional to 14,105.76, 19,466.62 and 7,818.14 is: 10,789.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.76 : 19,466.62 = 7,818.14 : x
  2. Step 2: Convert to fraction form
    14,105.76/19,466.62 = 7,818.14/x
  3. Step 3: Cross multiply
    14,105.76x = 19,466.62 × 7,818.14
  4. Step 4: Simplify right side
    14,105.76x = 152,192,760.49
  5. Step 5: Solve for x
    x = 152,192,760.49/14,105.76
  6. Step 6: Final answer
    x = 10,789.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.