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Finding the Fourth Proportional to 27,787.65, 41,697.87 and 14,461.53

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Solution

The fourth proportional to 27,787.65, 41,697.87 and 14,461.53 is: 21,700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,787.65 : 41,697.87 = 14,461.53 : x
  2. Step 2: Convert to fraction form
    27,787.65/41,697.87 = 14,461.53/x
  3. Step 3: Cross multiply
    27,787.65x = 41,697.87 × 14,461.53
  4. Step 4: Simplify right side
    27,787.65x = 603,014,997.94
  5. Step 5: Solve for x
    x = 603,014,997.94/27,787.65
  6. Step 6: Final answer
    x = 21,700.83

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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.