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Finding the Fourth Proportional to 14,891.72, 22,336.86 and 5,657

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Solution

The fourth proportional to 14,891.72, 22,336.86 and 5,657 is: 8,485.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,891.72 : 22,336.86 = 5,657 : x
  2. Step 2: Convert to fraction form
    14,891.72/22,336.86 = 5,657/x
  3. Step 3: Cross multiply
    14,891.72x = 22,336.86 × 5,657
  4. Step 4: Simplify right side
    14,891.72x = 126,359,617.02
  5. Step 5: Solve for x
    x = 126,359,617.02/14,891.72
  6. Step 6: Final answer
    x = 8,485.23

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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.