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Finding the Fourth Proportional to 25,965.84, 35,833.01 and 14,787.84

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Solution

The fourth proportional to 25,965.84, 35,833.01 and 14,787.84 is: 20,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,965.84 : 35,833.01 = 14,787.84 : x
  2. Step 2: Convert to fraction form
    25,965.84/35,833.01 = 14,787.84/x
  3. Step 3: Cross multiply
    25,965.84x = 35,833.01 × 14,787.84
  4. Step 4: Simplify right side
    25,965.84x = 529,892,744.66
  5. Step 5: Solve for x
    x = 529,892,744.66/25,965.84
  6. Step 6: Final answer
    x = 20,407.30

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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.