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Finding the Fourth Proportional to 21,214.59, 31,821.84 and 5,419.62

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Solution

The fourth proportional to 21,214.59, 31,821.84 and 5,419.62 is: 8,129.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214.59 : 31,821.84 = 5,419.62 : x
  2. Step 2: Convert to fraction form
    21,214.59/31,821.84 = 5,419.62/x
  3. Step 3: Cross multiply
    21,214.59x = 31,821.84 × 5,419.62
  4. Step 4: Simplify right side
    21,214.59x = 172,462,280.50
  5. Step 5: Solve for x
    x = 172,462,280.50/21,214.59
  6. Step 6: Final answer
    x = 8,129.42

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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.