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Finding the Fourth Proportional to 16,477.60, 24,704.66 and 7,707.73

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Solution

The fourth proportional to 16,477.60, 24,704.66 and 7,707.73 is: 11,556.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.60 : 24,704.66 = 7,707.73 : x
  2. Step 2: Convert to fraction form
    16,477.60/24,704.66 = 7,707.73/x
  3. Step 3: Cross multiply
    16,477.60x = 24,704.66 × 7,707.73
  4. Step 4: Simplify right side
    16,477.60x = 190,416,849.02
  5. Step 5: Solve for x
    x = 190,416,849.02/16,477.60
  6. Step 6: Final answer
    x = 11,556.10

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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.