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Finding the Fourth Proportional to 14,811.54, 20,442.15 and 8,522.70

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Solution

The fourth proportional to 14,811.54, 20,442.15 and 8,522.70 is: 11,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,811.54 : 20,442.15 = 8,522.70 : x
  2. Step 2: Convert to fraction form
    14,811.54/20,442.15 = 8,522.70/x
  3. Step 3: Cross multiply
    14,811.54x = 20,442.15 × 8,522.70
  4. Step 4: Simplify right side
    14,811.54x = 174,222,311.81
  5. Step 5: Solve for x
    x = 174,222,311.81/14,811.54
  6. Step 6: Final answer
    x = 11,762.61

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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.