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Finding the Fourth Proportional to 13,019.66, 17,967.03 and 7,051.31

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Solution

The fourth proportional to 13,019.66, 17,967.03 and 7,051.31 is: 9,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.66 : 17,967.03 = 7,051.31 : x
  2. Step 2: Convert to fraction form
    13,019.66/17,967.03 = 7,051.31/x
  3. Step 3: Cross multiply
    13,019.66x = 17,967.03 × 7,051.31
  4. Step 4: Simplify right side
    13,019.66x = 126,691,098.31
  5. Step 5: Solve for x
    x = 126,691,098.31/13,019.66
  6. Step 6: Final answer
    x = 9,730.75

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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.