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Finding the Fourth Proportional to 13,022.35, 17,970.84 and 7,054.02

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Solution

The fourth proportional to 13,022.35, 17,970.84 and 7,054.02 is: 9,734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.35 : 17,970.84 = 7,054.02 : x
  2. Step 2: Convert to fraction form
    13,022.35/17,970.84 = 7,054.02/x
  3. Step 3: Cross multiply
    13,022.35x = 17,970.84 × 7,054.02
  4. Step 4: Simplify right side
    13,022.35x = 126,766,574.92
  5. Step 5: Solve for x
    x = 126,766,574.92/13,022.35
  6. Step 6: Final answer
    x = 9,734.54

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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.