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Finding the Fourth Proportional to 13,021.09, 17,970.90 and 7,984.42

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Solution

The fourth proportional to 13,021.09, 17,970.90 and 7,984.42 is: 11,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.09 : 17,970.90 = 7,984.42 : x
  2. Step 2: Convert to fraction form
    13,021.09/17,970.90 = 7,984.42/x
  3. Step 3: Cross multiply
    13,021.09x = 17,970.90 × 7,984.42
  4. Step 4: Simplify right side
    13,021.09x = 143,487,213.38
  5. Step 5: Solve for x
    x = 143,487,213.38/13,021.09
  6. Step 6: Final answer
    x = 11,019.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.