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Finding the Fourth Proportional to 23,532, 35,300.94 and 7,116

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Solution

The fourth proportional to 23,532, 35,300.94 and 7,116 is: 10,674.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,532 : 35,300.94 = 7,116 : x
  2. Step 2: Convert to fraction form
    23,532/35,300.94 = 7,116/x
  3. Step 3: Cross multiply
    23,532x = 35,300.94 × 7,116
  4. Step 4: Simplify right side
    23,532x = 251,201,489.04
  5. Step 5: Solve for x
    x = 251,201,489.04/23,532
  6. Step 6: Final answer
    x = 10,674.89

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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.