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Finding the Fourth Proportional to 16,591.76, 24,883.77 and 9,556.82

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Solution

The fourth proportional to 16,591.76, 24,883.77 and 9,556.82 is: 14,333.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.76 : 24,883.77 = 9,556.82 : x
  2. Step 2: Convert to fraction form
    16,591.76/24,883.77 = 9,556.82/x
  3. Step 3: Cross multiply
    16,591.76x = 24,883.77 × 9,556.82
  4. Step 4: Simplify right side
    16,591.76x = 237,809,710.81
  5. Step 5: Solve for x
    x = 237,809,710.81/16,591.76
  6. Step 6: Final answer
    x = 14,333.00

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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.