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Finding the Fourth Proportional to 15,923.88, 21,968.64 and 9,208.26

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Solution

The fourth proportional to 15,923.88, 21,968.64 and 9,208.26 is: 12,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,923.88 : 21,968.64 = 9,208.26 : x
  2. Step 2: Convert to fraction form
    15,923.88/21,968.64 = 9,208.26/x
  3. Step 3: Cross multiply
    15,923.88x = 21,968.64 × 9,208.26
  4. Step 4: Simplify right side
    15,923.88x = 202,292,948.97
  5. Step 5: Solve for x
    x = 202,292,948.97/15,923.88
  6. Step 6: Final answer
    x = 12,703.75

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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.