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Finding the Fourth Proportional to 23,709.84, 35,568.60 and 7,290

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Solution

The fourth proportional to 23,709.84, 35,568.60 and 7,290 is: 10,936.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,709.84 : 35,568.60 = 7,290 : x
  2. Step 2: Convert to fraction form
    23,709.84/35,568.60 = 7,290/x
  3. Step 3: Cross multiply
    23,709.84x = 35,568.60 × 7,290
  4. Step 4: Simplify right side
    23,709.84x = 259,295,094
  5. Step 5: Solve for x
    x = 259,295,094/23,709.84
  6. Step 6: Final answer
    x = 10,936.18

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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.