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Finding the Fourth Proportional to 12,594.21, 17,381.58 and 7,877.58

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Solution

The fourth proportional to 12,594.21, 17,381.58 and 7,877.58 is: 10,872.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.21 : 17,381.58 = 7,877.58 : x
  2. Step 2: Convert to fraction form
    12,594.21/17,381.58 = 7,877.58/x
  3. Step 3: Cross multiply
    12,594.21x = 17,381.58 × 7,877.58
  4. Step 4: Simplify right side
    12,594.21x = 136,924,786.98
  5. Step 5: Solve for x
    x = 136,924,786.98/12,594.21
  6. Step 6: Final answer
    x = 10,872.04

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