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Finding the Fourth Proportional to 13,011.33, 17,951.43 and 7,970.31

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Solution

The fourth proportional to 13,011.33, 17,951.43 and 7,970.31 is: 10,996.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.33 : 17,951.43 = 7,970.31 : x
  2. Step 2: Convert to fraction form
    13,011.33/17,951.43 = 7,970.31/x
  3. Step 3: Cross multiply
    13,011.33x = 17,951.43 × 7,970.31
  4. Step 4: Simplify right side
    13,011.33x = 143,078,462.04
  5. Step 5: Solve for x
    x = 143,078,462.04/13,011.33
  6. Step 6: Final answer
    x = 10,996.45

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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.