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Finding the Fourth Proportional to 25,661.84, 35,391.24 and 16,706

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Solution

The fourth proportional to 25,661.84, 35,391.24 and 16,706 is: 23,039.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,661.84 : 35,391.24 = 16,706 : x
  2. Step 2: Convert to fraction form
    25,661.84/35,391.24 = 16,706/x
  3. Step 3: Cross multiply
    25,661.84x = 35,391.24 × 16,706
  4. Step 4: Simplify right side
    25,661.84x = 591,246,055.44
  5. Step 5: Solve for x
    x = 591,246,055.44/25,661.84
  6. Step 6: Final answer
    x = 23,039.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.