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Finding the Fourth Proportional to 13,019.74, 17,967.17 and 7,051.43

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Solution

The fourth proportional to 13,019.74, 17,967.17 and 7,051.43 is: 9,730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.74 : 17,967.17 = 7,051.43 : x
  2. Step 2: Convert to fraction form
    13,019.74/17,967.17 = 7,051.43/x
  3. Step 3: Cross multiply
    13,019.74x = 17,967.17 × 7,051.43
  4. Step 4: Simplify right side
    13,019.74x = 126,694,304.10
  5. Step 5: Solve for x
    x = 126,694,304.10/13,019.74
  6. Step 6: Final answer
    x = 9,730.94

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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.