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Finding the Fourth Proportional to 22,644.50, 33,953.78 and 9,485.78

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Solution

The fourth proportional to 22,644.50, 33,953.78 and 9,485.78 is: 14,223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,644.50 : 33,953.78 = 9,485.78 : x
  2. Step 2: Convert to fraction form
    22,644.50/33,953.78 = 9,485.78/x
  3. Step 3: Cross multiply
    22,644.50x = 33,953.78 × 9,485.78
  4. Step 4: Simplify right side
    22,644.50x = 322,077,941.19
  5. Step 5: Solve for x
    x = 322,077,941.19/22,644.50
  6. Step 6: Final answer
    x = 14,223.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.