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Finding the Fourth Proportional to 13,022.48, 17,969.96 and 7,357.72

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Solution

The fourth proportional to 13,022.48, 17,969.96 and 7,357.72 is: 10,153.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.48 : 17,969.96 = 7,357.72 : x
  2. Step 2: Convert to fraction form
    13,022.48/17,969.96 = 7,357.72/x
  3. Step 3: Cross multiply
    13,022.48x = 17,969.96 × 7,357.72
  4. Step 4: Simplify right side
    13,022.48x = 132,217,897.30
  5. Step 5: Solve for x
    x = 132,217,897.30/13,022.48
  6. Step 6: Final answer
    x = 10,153.05

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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.