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Finding the Fourth Proportional to 16,378.08, 24,567.27 and 8,978.50

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Solution

The fourth proportional to 16,378.08, 24,567.27 and 8,978.50 is: 13,467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378.08 : 24,567.27 = 8,978.50 : x
  2. Step 2: Convert to fraction form
    16,378.08/24,567.27 = 8,978.50/x
  3. Step 3: Cross multiply
    16,378.08x = 24,567.27 × 8,978.50
  4. Step 4: Simplify right side
    16,378.08x = 220,577,188.80
  5. Step 5: Solve for x
    x = 220,577,188.80/16,378.08
  6. Step 6: Final answer
    x = 13,467.83

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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.