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Finding the Fourth Proportional to 21,614, 32,421 and 7,022

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Solution

The fourth proportional to 21,614, 32,421 and 7,022 is: 10,533

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614 : 32,421 = 7,022 : x
  2. Step 2: Convert to fraction form
    21,614/32,421 = 7,022/x
  3. Step 3: Cross multiply
    21,614x = 32,421 × 7,022
  4. Step 4: Simplify right side
    21,614x = 227,660,262
  5. Step 5: Solve for x
    x = 227,660,262/21,614
  6. Step 6: Final answer
    x = 10,533

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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.