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Finding the Fourth Proportional to 20,518.74, 30,742.74 and 16,024.86

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Solution

The fourth proportional to 20,518.74, 30,742.74 and 16,024.86 is: 24,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,518.74 : 30,742.74 = 16,024.86 : x
  2. Step 2: Convert to fraction form
    20,518.74/30,742.74 = 16,024.86/x
  3. Step 3: Cross multiply
    20,518.74x = 30,742.74 × 16,024.86
  4. Step 4: Simplify right side
    20,518.74x = 492,648,104.52
  5. Step 5: Solve for x
    x = 492,648,104.52/20,518.74
  6. Step 6: Final answer
    x = 24,009.67

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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.