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Finding the Fourth Proportional to 18,236, 25,165.70 and 9,852.50

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Solution

The fourth proportional to 18,236, 25,165.70 and 9,852.50 is: 13,596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,236 : 25,165.70 = 9,852.50 : x
  2. Step 2: Convert to fraction form
    18,236/25,165.70 = 9,852.50/x
  3. Step 3: Cross multiply
    18,236x = 25,165.70 × 9,852.50
  4. Step 4: Simplify right side
    18,236x = 247,945,059.25
  5. Step 5: Solve for x
    x = 247,945,059.25/18,236
  6. Step 6: Final answer
    x = 13,596.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.