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Finding the Fourth Proportional to 14,311.81, 19,750.21 and 8,024.18

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Solution

The fourth proportional to 14,311.81, 19,750.21 and 8,024.18 is: 11,073.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.81 : 19,750.21 = 8,024.18 : x
  2. Step 2: Convert to fraction form
    14,311.81/19,750.21 = 8,024.18/x
  3. Step 3: Cross multiply
    14,311.81x = 19,750.21 × 8,024.18
  4. Step 4: Simplify right side
    14,311.81x = 158,479,240.08
  5. Step 5: Solve for x
    x = 158,479,240.08/14,311.81
  6. Step 6: Final answer
    x = 11,073.32

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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.