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Finding the Fourth Proportional to 23,553.24, 35,329.86 and 10,419

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Solution

The fourth proportional to 23,553.24, 35,329.86 and 10,419 is: 15,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,553.24 : 35,329.86 = 10,419 : x
  2. Step 2: Convert to fraction form
    23,553.24/35,329.86 = 10,419/x
  3. Step 3: Cross multiply
    23,553.24x = 35,329.86 × 10,419
  4. Step 4: Simplify right side
    23,553.24x = 368,101,811.34
  5. Step 5: Solve for x
    x = 368,101,811.34/23,553.24
  6. Step 6: Final answer
    x = 15,628.50

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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.