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Finding the Fourth Proportional to 19,774.85, 27,260.88 and 14,099.73

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Solution

The fourth proportional to 19,774.85, 27,260.88 and 14,099.73 is: 19,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.85 : 27,260.88 = 14,099.73 : x
  2. Step 2: Convert to fraction form
    19,774.85/27,260.88 = 14,099.73/x
  3. Step 3: Cross multiply
    19,774.85x = 27,260.88 × 14,099.73
  4. Step 4: Simplify right side
    19,774.85x = 384,371,123.79
  5. Step 5: Solve for x
    x = 384,371,123.79/19,774.85
  6. Step 6: Final answer
    x = 19,437.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.