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Finding the Fourth Proportional to 17,077.25, 23,564.99 and 10,002.31

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Solution

The fourth proportional to 17,077.25, 23,564.99 and 10,002.31 is: 13,802.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.25 : 23,564.99 = 10,002.31 : x
  2. Step 2: Convert to fraction form
    17,077.25/23,564.99 = 10,002.31/x
  3. Step 3: Cross multiply
    17,077.25x = 23,564.99 × 10,002.31
  4. Step 4: Simplify right side
    17,077.25x = 235,704,301.22
  5. Step 5: Solve for x
    x = 235,704,301.22/17,077.25
  6. Step 6: Final answer
    x = 13,802.24

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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.