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Finding the Fourth Proportional to 13,014.34, 17,959.78 and 7,046.06

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Solution

The fourth proportional to 13,014.34, 17,959.78 and 7,046.06 is: 9,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.34 : 17,959.78 = 7,046.06 : x
  2. Step 2: Convert to fraction form
    13,014.34/17,959.78 = 7,046.06/x
  3. Step 3: Cross multiply
    13,014.34x = 17,959.78 × 7,046.06
  4. Step 4: Simplify right side
    13,014.34x = 126,545,687.47
  5. Step 5: Solve for x
    x = 126,545,687.47/13,014.34
  6. Step 6: Final answer
    x = 9,723.56

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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.