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Finding the Fourth Proportional to 13,022.39, 17,970.89 and 7,054.05

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Solution

The fourth proportional to 13,022.39, 17,970.89 and 7,054.05 is: 9,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.39 : 17,970.89 = 7,054.05 : x
  2. Step 2: Convert to fraction form
    13,022.39/17,970.89 = 7,054.05/x
  3. Step 3: Cross multiply
    13,022.39x = 17,970.89 × 7,054.05
  4. Step 4: Simplify right side
    13,022.39x = 126,767,521.33
  5. Step 5: Solve for x
    x = 126,767,521.33/13,022.39
  6. Step 6: Final answer
    x = 9,734.59

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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.