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Finding the Fourth Proportional to 13,022.93, 17,971.12 and 7,644.63

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Solution

The fourth proportional to 13,022.93, 17,971.12 and 7,644.63 is: 10,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.93 : 17,971.12 = 7,644.63 : x
  2. Step 2: Convert to fraction form
    13,022.93/17,971.12 = 7,644.63/x
  3. Step 3: Cross multiply
    13,022.93x = 17,971.12 × 7,644.63
  4. Step 4: Simplify right side
    13,022.93x = 137,382,495.94
  5. Step 5: Solve for x
    x = 137,382,495.94/13,022.93
  6. Step 6: Final answer
    x = 10,549.28

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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.