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Finding the Fourth Proportional to 13,978.25, 20,967.37 and 9,582.38

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Solution

The fourth proportional to 13,978.25, 20,967.37 and 9,582.38 is: 14,373.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.25 : 20,967.37 = 9,582.38 : x
  2. Step 2: Convert to fraction form
    13,978.25/20,967.37 = 9,582.38/x
  3. Step 3: Cross multiply
    13,978.25x = 20,967.37 × 9,582.38
  4. Step 4: Simplify right side
    13,978.25x = 200,917,154.19
  5. Step 5: Solve for x
    x = 200,917,154.19/13,978.25
  6. Step 6: Final answer
    x = 14,373.56

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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.