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Finding the Fourth Proportional to 16,405.83, 24,605.09 and 4,716.32

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Solution

The fourth proportional to 16,405.83, 24,605.09 and 4,716.32 is: 7,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.83 : 24,605.09 = 4,716.32 : x
  2. Step 2: Convert to fraction form
    16,405.83/24,605.09 = 4,716.32/x
  3. Step 3: Cross multiply
    16,405.83x = 24,605.09 × 4,716.32
  4. Step 4: Simplify right side
    16,405.83x = 116,045,331.46
  5. Step 5: Solve for x
    x = 116,045,331.46/16,405.83
  6. Step 6: Final answer
    x = 7,073.42

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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.