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Finding the Fourth Proportional to 16,634.99, 24,952.49 and 9,704.63

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Solution

The fourth proportional to 16,634.99, 24,952.49 and 9,704.63 is: 14,556.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,634.99 : 24,952.49 = 9,704.63 : x
  2. Step 2: Convert to fraction form
    16,634.99/24,952.49 = 9,704.63/x
  3. Step 3: Cross multiply
    16,634.99x = 24,952.49 × 9,704.63
  4. Step 4: Simplify right side
    16,634.99x = 242,154,509.74
  5. Step 5: Solve for x
    x = 242,154,509.74/16,634.99
  6. Step 6: Final answer
    x = 14,556.94

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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.