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Finding the Fourth Proportional to 23,635.49, 35,465.58 and 15,313.34

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Solution

The fourth proportional to 23,635.49, 35,465.58 and 15,313.34 is: 22,978.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,635.49 : 35,465.58 = 15,313.34 : x
  2. Step 2: Convert to fraction form
    23,635.49/35,465.58 = 15,313.34/x
  3. Step 3: Cross multiply
    23,635.49x = 35,465.58 × 15,313.34
  4. Step 4: Simplify right side
    23,635.49x = 543,096,573.50
  5. Step 5: Solve for x
    x = 543,096,573.50/23,635.49
  6. Step 6: Final answer
    x = 22,978.02

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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.