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Finding the Fourth Proportional to 13,022.08, 17,970.52 and 7,053.76

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Solution

The fourth proportional to 13,022.08, 17,970.52 and 7,053.76 is: 9,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.08 : 17,970.52 = 7,053.76 : x
  2. Step 2: Convert to fraction form
    13,022.08/17,970.52 = 7,053.76/x
  3. Step 3: Cross multiply
    13,022.08x = 17,970.52 × 7,053.76
  4. Step 4: Simplify right side
    13,022.08x = 126,759,735.16
  5. Step 5: Solve for x
    x = 126,759,735.16/13,022.08
  6. Step 6: Final answer
    x = 9,734.22

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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.