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Finding the Fourth Proportional to 13,816.94, 20,746.17 and 8,294.99

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Solution

The fourth proportional to 13,816.94, 20,746.17 and 8,294.99 is: 12,454.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.94 : 20,746.17 = 8,294.99 : x
  2. Step 2: Convert to fraction form
    13,816.94/20,746.17 = 8,294.99/x
  3. Step 3: Cross multiply
    13,816.94x = 20,746.17 × 8,294.99
  4. Step 4: Simplify right side
    13,816.94x = 172,089,168.96
  5. Step 5: Solve for x
    x = 172,089,168.96/13,816.94
  6. Step 6: Final answer
    x = 12,454.95

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1.5x scale

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.