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Finding the Fourth Proportional to 14,787.32, 22,180.98 and 8,627

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Solution

The fourth proportional to 14,787.32, 22,180.98 and 8,627 is: 12,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,787.32 : 22,180.98 = 8,627 : x
  2. Step 2: Convert to fraction form
    14,787.32/22,180.98 = 8,627/x
  3. Step 3: Cross multiply
    14,787.32x = 22,180.98 × 8,627
  4. Step 4: Simplify right side
    14,787.32x = 191,355,314.46
  5. Step 5: Solve for x
    x = 191,355,314.46/14,787.32
  6. Step 6: Final answer
    x = 12,940.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.