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Finding the Fourth Proportional to 24,138.50, 33,276.23 and 16,946.52

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Solution

The fourth proportional to 24,138.50, 33,276.23 and 16,946.52 is: 23,361.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,138.50 : 33,276.23 = 16,946.52 : x
  2. Step 2: Convert to fraction form
    24,138.50/33,276.23 = 16,946.52/x
  3. Step 3: Cross multiply
    24,138.50x = 33,276.23 × 16,946.52
  4. Step 4: Simplify right side
    24,138.50x = 563,916,151.25
  5. Step 5: Solve for x
    x = 563,916,151.25/24,138.50
  6. Step 6: Final answer
    x = 23,361.69

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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.