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Finding the Fourth Proportional to 12,224.50, 16,871.52 and 8,035.18

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Solution

The fourth proportional to 12,224.50, 16,871.52 and 8,035.18 is: 11,089.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.50 : 16,871.52 = 8,035.18 : x
  2. Step 2: Convert to fraction form
    12,224.50/16,871.52 = 8,035.18/x
  3. Step 3: Cross multiply
    12,224.50x = 16,871.52 × 8,035.18
  4. Step 4: Simplify right side
    12,224.50x = 135,565,700.07
  5. Step 5: Solve for x
    x = 135,565,700.07/12,224.50
  6. Step 6: Final answer
    x = 11,089.67

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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.