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Finding the Fourth Proportional to 26,000, 35,880 and 14,063.33

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Solution

The fourth proportional to 26,000, 35,880 and 14,063.33 is: 19,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,000 : 35,880 = 14,063.33 : x
  2. Step 2: Convert to fraction form
    26,000/35,880 = 14,063.33/x
  3. Step 3: Cross multiply
    26,000x = 35,880 × 14,063.33
  4. Step 4: Simplify right side
    26,000x = 504,592,280.40
  5. Step 5: Solve for x
    x = 504,592,280.40/26,000
  6. Step 6: Final answer
    x = 19,407.40

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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.