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Finding the Fourth Proportional to 16,466.75, 22,724.16 and 9,014.75

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Solution

The fourth proportional to 16,466.75, 22,724.16 and 9,014.75 is: 12,440.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466.75 : 22,724.16 = 9,014.75 : x
  2. Step 2: Convert to fraction form
    16,466.75/22,724.16 = 9,014.75/x
  3. Step 3: Cross multiply
    16,466.75x = 22,724.16 × 9,014.75
  4. Step 4: Simplify right side
    16,466.75x = 204,852,621.36
  5. Step 5: Solve for x
    x = 204,852,621.36/16,466.75
  6. Step 6: Final answer
    x = 12,440.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.