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Finding the Fourth Proportional to 13,021.59, 17,971.59 and 7,984.92

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Solution

The fourth proportional to 13,021.59, 17,971.59 and 7,984.92 is: 11,020.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.59 : 17,971.59 = 7,984.92 : x
  2. Step 2: Convert to fraction form
    13,021.59/17,971.59 = 7,984.92/x
  3. Step 3: Cross multiply
    13,021.59x = 17,971.59 × 7,984.92
  4. Step 4: Simplify right side
    13,021.59x = 143,501,708.42
  5. Step 5: Solve for x
    x = 143,501,708.42/13,021.59
  6. Step 6: Final answer
    x = 11,020.29

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