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Finding the Fourth Proportional to 26,970, 40,455 and 10,554

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Solution

The fourth proportional to 26,970, 40,455 and 10,554 is: 15,831

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,970 : 40,455 = 10,554 : x
  2. Step 2: Convert to fraction form
    26,970/40,455 = 10,554/x
  3. Step 3: Cross multiply
    26,970x = 40,455 × 10,554
  4. Step 4: Simplify right side
    26,970x = 426,962,070
  5. Step 5: Solve for x
    x = 426,962,070/26,970
  6. Step 6: Final answer
    x = 15,831

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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.