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Finding the Fourth Proportional to 15,982.40, 22,346.20 and 15,982.40

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Solution

The fourth proportional to 15,982.40, 22,346.20 and 15,982.40 is: 22,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,982.40 : 22,346.20 = 15,982.40 : x
  2. Step 2: Convert to fraction form
    15,982.40/22,346.20 = 15,982.40/x
  3. Step 3: Cross multiply
    15,982.40x = 22,346.20 × 15,982.40
  4. Step 4: Simplify right side
    15,982.40x = 357,145,906.88
  5. Step 5: Solve for x
    x = 357,145,906.88/15,982.40
  6. Step 6: Final answer
    x = 22,346.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.