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Finding the Fourth Proportional to 16,178.37, 22,321.79 and 9,465.65

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Solution

The fourth proportional to 16,178.37, 22,321.79 and 9,465.65 is: 13,060.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.37 : 22,321.79 = 9,465.65 : x
  2. Step 2: Convert to fraction form
    16,178.37/22,321.79 = 9,465.65/x
  3. Step 3: Cross multiply
    16,178.37x = 22,321.79 × 9,465.65
  4. Step 4: Simplify right side
    16,178.37x = 211,290,265.02
  5. Step 5: Solve for x
    x = 211,290,265.02/16,178.37
  6. Step 6: Final answer
    x = 13,060.05

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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.