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Finding the Fourth Proportional to 19,614, 29,421 and 5,022

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Solution

The fourth proportional to 19,614, 29,421 and 5,022 is: 7,533

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,614 : 29,421 = 5,022 : x
  2. Step 2: Convert to fraction form
    19,614/29,421 = 5,022/x
  3. Step 3: Cross multiply
    19,614x = 29,421 × 5,022
  4. Step 4: Simplify right side
    19,614x = 147,752,262
  5. Step 5: Solve for x
    x = 147,752,262/19,614
  6. Step 6: Final answer
    x = 7,533

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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.