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Finding the Fourth Proportional to 15,788.36, 21,787.93 and 8,714.78

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Solution

The fourth proportional to 15,788.36, 21,787.93 and 8,714.78 is: 12,026.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,788.36 : 21,787.93 = 8,714.78 : x
  2. Step 2: Convert to fraction form
    15,788.36/21,787.93 = 8,714.78/x
  3. Step 3: Cross multiply
    15,788.36x = 21,787.93 × 8,714.78
  4. Step 4: Simplify right side
    15,788.36x = 189,876,963.50
  5. Step 5: Solve for x
    x = 189,876,963.50/15,788.36
  6. Step 6: Final answer
    x = 12,026.39

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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.