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Finding the Fourth Proportional to 26,300.64, 39,453 and 8,770.46

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Solution

The fourth proportional to 26,300.64, 39,453 and 8,770.46 is: 13,156.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,300.64 : 39,453 = 8,770.46 : x
  2. Step 2: Convert to fraction form
    26,300.64/39,453 = 8,770.46/x
  3. Step 3: Cross multiply
    26,300.64x = 39,453 × 8,770.46
  4. Step 4: Simplify right side
    26,300.64x = 346,020,958.38
  5. Step 5: Solve for x
    x = 346,020,958.38/26,300.64
  6. Step 6: Final answer
    x = 13,156.37

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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.