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Finding the Fourth Proportional to 16,323.83, 24,482.10 and 6,465.32

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Solution

The fourth proportional to 16,323.83, 24,482.10 and 6,465.32 is: 9,696.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,323.83 : 24,482.10 = 6,465.32 : x
  2. Step 2: Convert to fraction form
    16,323.83/24,482.10 = 6,465.32/x
  3. Step 3: Cross multiply
    16,323.83x = 24,482.10 × 6,465.32
  4. Step 4: Simplify right side
    16,323.83x = 158,284,610.77
  5. Step 5: Solve for x
    x = 158,284,610.77/16,323.83
  6. Step 6: Final answer
    x = 9,696.54

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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.