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Finding the Fourth Proportional to 15,788.50, 21,787.71 and 8,714.77

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Solution

The fourth proportional to 15,788.50, 21,787.71 and 8,714.77 is: 12,026.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,788.50 : 21,787.71 = 8,714.77 : x
  2. Step 2: Convert to fraction form
    15,788.50/21,787.71 = 8,714.77/x
  3. Step 3: Cross multiply
    15,788.50x = 21,787.71 × 8,714.77
  4. Step 4: Simplify right side
    15,788.50x = 189,874,772.54
  5. Step 5: Solve for x
    x = 189,874,772.54/15,788.50
  6. Step 6: Final answer
    x = 12,026.15

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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.