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Finding the Fourth Proportional to 25,852.44, 38,787.92 and 12,714

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Solution

The fourth proportional to 25,852.44, 38,787.92 and 12,714 is: 19,075.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,852.44 : 38,787.92 = 12,714 : x
  2. Step 2: Convert to fraction form
    25,852.44/38,787.92 = 12,714/x
  3. Step 3: Cross multiply
    25,852.44x = 38,787.92 × 12,714
  4. Step 4: Simplify right side
    25,852.44x = 493,149,614.88
  5. Step 5: Solve for x
    x = 493,149,614.88/25,852.44
  6. Step 6: Final answer
    x = 19,075.55

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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.