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Finding the Fourth Proportional to 25,982, 35,858.67 and 14,653.82

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Solution

The fourth proportional to 25,982, 35,858.67 and 14,653.82 is: 20,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,982 : 35,858.67 = 14,653.82 : x
  2. Step 2: Convert to fraction form
    25,982/35,858.67 = 14,653.82/x
  3. Step 3: Cross multiply
    25,982x = 35,858.67 × 14,653.82
  4. Step 4: Simplify right side
    25,982x = 525,466,495.62
  5. Step 5: Solve for x
    x = 525,466,495.62/25,982
  6. Step 6: Final answer
    x = 20,224.25

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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.