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Finding the Fourth Proportional to 19,508.07, 29,261.97 and 7,821.12

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Solution

The fourth proportional to 19,508.07, 29,261.97 and 7,821.12 is: 11,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,508.07 : 29,261.97 = 7,821.12 : x
  2. Step 2: Convert to fraction form
    19,508.07/29,261.97 = 7,821.12/x
  3. Step 3: Cross multiply
    19,508.07x = 29,261.97 × 7,821.12
  4. Step 4: Simplify right side
    19,508.07x = 228,861,378.81
  5. Step 5: Solve for x
    x = 228,861,378.81/19,508.07
  6. Step 6: Final answer
    x = 11,731.63

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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.