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Finding the Fourth Proportional to 16,189.13, 24,283.73 and 6,321.49

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Solution

The fourth proportional to 16,189.13, 24,283.73 and 6,321.49 is: 9,482.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.13 : 24,283.73 = 6,321.49 : x
  2. Step 2: Convert to fraction form
    16,189.13/24,283.73 = 6,321.49/x
  3. Step 3: Cross multiply
    16,189.13x = 24,283.73 × 6,321.49
  4. Step 4: Simplify right side
    16,189.13x = 153,509,356.36
  5. Step 5: Solve for x
    x = 153,509,356.36/16,189.13
  6. Step 6: Final answer
    x = 9,482.25

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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.