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Finding the Fourth Proportional to 16,465.74, 22,723.23 and 9,295.75

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Solution

The fourth proportional to 16,465.74, 22,723.23 and 9,295.75 is: 12,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.74 : 22,723.23 = 9,295.75 : x
  2. Step 2: Convert to fraction form
    16,465.74/22,723.23 = 9,295.75/x
  3. Step 3: Cross multiply
    16,465.74x = 22,723.23 × 9,295.75
  4. Step 4: Simplify right side
    16,465.74x = 211,229,465.27
  5. Step 5: Solve for x
    x = 211,229,465.27/16,465.74
  6. Step 6: Final answer
    x = 12,828.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.