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Finding the Fourth Proportional to 23,425, 35,142.36 and 9,574

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Solution

The fourth proportional to 23,425, 35,142.36 and 9,574 is: 14,362.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,425 : 35,142.36 = 9,574 : x
  2. Step 2: Convert to fraction form
    23,425/35,142.36 = 9,574/x
  3. Step 3: Cross multiply
    23,425x = 35,142.36 × 9,574
  4. Step 4: Simplify right side
    23,425x = 336,452,954.64
  5. Step 5: Solve for x
    x = 336,452,954.64/23,425
  6. Step 6: Final answer
    x = 14,362.99

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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.