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Finding the Fourth Proportional to 14,822.43, 20,453.00 and 9,524.45

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Solution

The fourth proportional to 14,822.43, 20,453.00 and 9,524.45 is: 13,142.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.43 : 20,453.00 = 9,524.45 : x
  2. Step 2: Convert to fraction form
    14,822.43/20,453.00 = 9,524.45/x
  3. Step 3: Cross multiply
    14,822.43x = 20,453.00 × 9,524.45
  4. Step 4: Simplify right side
    14,822.43x = 194,803,425.96
  5. Step 5: Solve for x
    x = 194,803,425.96/14,822.43
  6. Step 6: Final answer
    x = 13,142.48

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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.