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Finding the Fourth Proportional to 26,164.31, 39,235.53 and 10,571

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Solution

The fourth proportional to 26,164.31, 39,235.53 and 10,571 is: 15,852.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,164.31 : 39,235.53 = 10,571 : x
  2. Step 2: Convert to fraction form
    26,164.31/39,235.53 = 10,571/x
  3. Step 3: Cross multiply
    26,164.31x = 39,235.53 × 10,571
  4. Step 4: Simplify right side
    26,164.31x = 414,758,787.63
  5. Step 5: Solve for x
    x = 414,758,787.63/26,164.31
  6. Step 6: Final answer
    x = 15,852.08

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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.