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Finding the Fourth Proportional to 27,699.84, 41,586.55 and 12,919.10

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Solution

The fourth proportional to 27,699.84, 41,586.55 and 12,919.10 is: 19,395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,699.84 : 41,586.55 = 12,919.10 : x
  2. Step 2: Convert to fraction form
    27,699.84/41,586.55 = 12,919.10/x
  3. Step 3: Cross multiply
    27,699.84x = 41,586.55 × 12,919.10
  4. Step 4: Simplify right side
    27,699.84x = 537,260,557.87
  5. Step 5: Solve for x
    x = 537,260,557.87/27,699.84
  6. Step 6: Final answer
    x = 19,395.80

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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.