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Finding the Fourth Proportional to 16,564.92, 24,858.90 and 10,707

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Solution

The fourth proportional to 16,564.92, 24,858.90 and 10,707 is: 16,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.92 : 24,858.90 = 10,707 : x
  2. Step 2: Convert to fraction form
    16,564.92/24,858.90 = 10,707/x
  3. Step 3: Cross multiply
    16,564.92x = 24,858.90 × 10,707
  4. Step 4: Simplify right side
    16,564.92x = 266,164,242.30
  5. Step 5: Solve for x
    x = 266,164,242.30/16,564.92
  6. Step 6: Final answer
    x = 16,067.95

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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.