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Finding the Fourth Proportional to 21,934, 32,901 and 7,342

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Solution

The fourth proportional to 21,934, 32,901 and 7,342 is: 11,013

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,934 : 32,901 = 7,342 : x
  2. Step 2: Convert to fraction form
    21,934/32,901 = 7,342/x
  3. Step 3: Cross multiply
    21,934x = 32,901 × 7,342
  4. Step 4: Simplify right side
    21,934x = 241,559,142
  5. Step 5: Solve for x
    x = 241,559,142/21,934
  6. Step 6: Final answer
    x = 11,013

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.