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Finding the Fourth Proportional to 16,803.80, 23,187.87 and 9,730.68

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Solution

The fourth proportional to 16,803.80, 23,187.87 and 9,730.68 is: 13,427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,803.80 : 23,187.87 = 9,730.68 : x
  2. Step 2: Convert to fraction form
    16,803.80/23,187.87 = 9,730.68/x
  3. Step 3: Cross multiply
    16,803.80x = 23,187.87 × 9,730.68
  4. Step 4: Simplify right side
    16,803.80x = 225,633,742.85
  5. Step 5: Solve for x
    x = 225,633,742.85/16,803.80
  6. Step 6: Final answer
    x = 13,427.54

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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.