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Finding the Fourth Proportional to 24,138.38, 33,276.06 and 16,946.40

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Solution

The fourth proportional to 24,138.38, 33,276.06 and 16,946.40 is: 23,361.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,138.38 : 33,276.06 = 16,946.40 : x
  2. Step 2: Convert to fraction form
    24,138.38/33,276.06 = 16,946.40/x
  3. Step 3: Cross multiply
    24,138.38x = 33,276.06 × 16,946.40
  4. Step 4: Simplify right side
    24,138.38x = 563,909,423.18
  5. Step 5: Solve for x
    x = 563,909,423.18/24,138.38
  6. Step 6: Final answer
    x = 23,361.53

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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.