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Finding the Fourth Proportional to 25,829.84, 38,656.29 and 17,941.25

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Solution

The fourth proportional to 25,829.84, 38,656.29 and 17,941.25 is: 26,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,829.84 : 38,656.29 = 17,941.25 : x
  2. Step 2: Convert to fraction form
    25,829.84/38,656.29 = 17,941.25/x
  3. Step 3: Cross multiply
    25,829.84x = 38,656.29 × 17,941.25
  4. Step 4: Simplify right side
    25,829.84x = 693,542,047.36
  5. Step 5: Solve for x
    x = 693,542,047.36/25,829.84
  6. Step 6: Final answer
    x = 26,850.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.