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Finding the Fourth Proportional to 27,497, 41,226.98 and 12,697.76

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Solution

The fourth proportional to 27,497, 41,226.98 and 12,697.76 is: 19,038.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,497 : 41,226.98 = 12,697.76 : x
  2. Step 2: Convert to fraction form
    27,497/41,226.98 = 12,697.76/x
  3. Step 3: Cross multiply
    27,497x = 41,226.98 × 12,697.76
  4. Step 4: Simplify right side
    27,497x = 523,490,297.56
  5. Step 5: Solve for x
    x = 523,490,297.56/27,497
  6. Step 6: Final answer
    x = 19,038.09

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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.