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Finding the Fourth Proportional to 16,323.93, 24,467.67 and 6,455.70

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Solution

The fourth proportional to 16,323.93, 24,467.67 and 6,455.70 is: 9,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,323.93 : 24,467.67 = 6,455.70 : x
  2. Step 2: Convert to fraction form
    16,323.93/24,467.67 = 6,455.70/x
  3. Step 3: Cross multiply
    16,323.93x = 24,467.67 × 6,455.70
  4. Step 4: Simplify right side
    16,323.93x = 157,955,937.22
  5. Step 5: Solve for x
    x = 157,955,937.22/16,323.93
  6. Step 6: Final answer
    x = 9,676.34

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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.