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Finding the Fourth Proportional to 19,466.96, 29,199.24 and 7,771.76

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Solution

The fourth proportional to 19,466.96, 29,199.24 and 7,771.76 is: 11,657.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,466.96 : 29,199.24 = 7,771.76 : x
  2. Step 2: Convert to fraction form
    19,466.96/29,199.24 = 7,771.76/x
  3. Step 3: Cross multiply
    19,466.96x = 29,199.24 × 7,771.76
  4. Step 4: Simplify right side
    19,466.96x = 226,929,485.46
  5. Step 5: Solve for x
    x = 226,929,485.46/19,466.96
  6. Step 6: Final answer
    x = 11,657.16

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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.