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Finding the Fourth Proportional to 17,382.90, 23,988.26 and 9,829.23

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Solution

The fourth proportional to 17,382.90, 23,988.26 and 9,829.23 is: 13,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.90 : 23,988.26 = 9,829.23 : x
  2. Step 2: Convert to fraction form
    17,382.90/23,988.26 = 9,829.23/x
  3. Step 3: Cross multiply
    17,382.90x = 23,988.26 × 9,829.23
  4. Step 4: Simplify right side
    17,382.90x = 235,786,075.69
  5. Step 5: Solve for x
    x = 235,786,075.69/17,382.90
  6. Step 6: Final answer
    x = 13,564.25

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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.