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Finding the Fourth Proportional to 16,473.50, 22,733.43 and 9,021.50

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Solution

The fourth proportional to 16,473.50, 22,733.43 and 9,021.50 is: 12,449.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,473.50 : 22,733.43 = 9,021.50 : x
  2. Step 2: Convert to fraction form
    16,473.50/22,733.43 = 9,021.50/x
  3. Step 3: Cross multiply
    16,473.50x = 22,733.43 × 9,021.50
  4. Step 4: Simplify right side
    16,473.50x = 205,089,638.75
  5. Step 5: Solve for x
    x = 205,089,638.75/16,473.50
  6. Step 6: Final answer
    x = 12,449.67

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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.