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Finding the Fourth Proportional to 16,823.58, 23,048.39 and 16,193.00

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Solution

The fourth proportional to 16,823.58, 23,048.39 and 16,193.00 is: 22,184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.58 : 23,048.39 = 16,193.00 : x
  2. Step 2: Convert to fraction form
    16,823.58/23,048.39 = 16,193.00/x
  3. Step 3: Cross multiply
    16,823.58x = 23,048.39 × 16,193.00
  4. Step 4: Simplify right side
    16,823.58x = 373,222,443.79
  5. Step 5: Solve for x
    x = 373,222,443.79/16,823.58
  6. Step 6: Final answer
    x = 22,184.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.