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Finding the Fourth Proportional to 23,858.88, 35,800.20 and 10,716

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Solution

The fourth proportional to 23,858.88, 35,800.20 and 10,716 is: 16,079.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,858.88 : 35,800.20 = 10,716 : x
  2. Step 2: Convert to fraction form
    23,858.88/35,800.20 = 10,716/x
  3. Step 3: Cross multiply
    23,858.88x = 35,800.20 × 10,716
  4. Step 4: Simplify right side
    23,858.88x = 383,634,943.20
  5. Step 5: Solve for x
    x = 383,634,943.20/23,858.88
  6. Step 6: Final answer
    x = 16,079.34

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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.