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Finding the Fourth Proportional to 14,647.70, 20,212.94 and 8,982.47

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Solution

The fourth proportional to 14,647.70, 20,212.94 and 8,982.47 is: 12,395.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.70 : 20,212.94 = 8,982.47 : x
  2. Step 2: Convert to fraction form
    14,647.70/20,212.94 = 8,982.47/x
  3. Step 3: Cross multiply
    14,647.70x = 20,212.94 × 8,982.47
  4. Step 4: Simplify right side
    14,647.70x = 181,561,981.18
  5. Step 5: Solve for x
    x = 181,561,981.18/14,647.70
  6. Step 6: Final answer
    x = 12,395.26

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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.