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Finding the Fourth Proportional to 16,328.94, 24,485.28 and 6,967.50

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Solution

The fourth proportional to 16,328.94, 24,485.28 and 6,967.50 is: 10,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,328.94 : 24,485.28 = 6,967.50 : x
  2. Step 2: Convert to fraction form
    16,328.94/24,485.28 = 6,967.50/x
  3. Step 3: Cross multiply
    16,328.94x = 24,485.28 × 6,967.50
  4. Step 4: Simplify right side
    16,328.94x = 170,601,188.40
  5. Step 5: Solve for x
    x = 170,601,188.40/16,328.94
  6. Step 6: Final answer
    x = 10,447.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.