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Finding the Fourth Proportional to 17,094.14, 25,643.94 and 7,233.50

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Solution

The fourth proportional to 17,094.14, 25,643.94 and 7,233.50 is: 10,851.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,094.14 : 25,643.94 = 7,233.50 : x
  2. Step 2: Convert to fraction form
    17,094.14/25,643.94 = 7,233.50/x
  3. Step 3: Cross multiply
    17,094.14x = 25,643.94 × 7,233.50
  4. Step 4: Simplify right side
    17,094.14x = 185,495,439.99
  5. Step 5: Solve for x
    x = 185,495,439.99/17,094.14
  6. Step 6: Final answer
    x = 10,851.41

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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.