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Finding the Fourth Proportional to 14,311.98, 19,750.46 and 8,024.35

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Solution

The fourth proportional to 14,311.98, 19,750.46 and 8,024.35 is: 11,073.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.98 : 19,750.46 = 8,024.35 : x
  2. Step 2: Convert to fraction form
    14,311.98/19,750.46 = 8,024.35/x
  3. Step 3: Cross multiply
    14,311.98x = 19,750.46 × 8,024.35
  4. Step 4: Simplify right side
    14,311.98x = 158,484,603.70
  5. Step 5: Solve for x
    x = 158,484,603.70/14,311.98
  6. Step 6: Final answer
    x = 11,073.56

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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.