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Finding the Fourth Proportional to 13,774.62, 19,008.36 and 7,805.94

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Solution

The fourth proportional to 13,774.62, 19,008.36 and 7,805.94 is: 10,771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.62 : 19,008.36 = 7,805.94 : x
  2. Step 2: Convert to fraction form
    13,774.62/19,008.36 = 7,805.94/x
  3. Step 3: Cross multiply
    13,774.62x = 19,008.36 × 7,805.94
  4. Step 4: Simplify right side
    13,774.62x = 148,378,117.66
  5. Step 5: Solve for x
    x = 148,378,117.66/13,774.62
  6. Step 6: Final answer
    x = 10,771.85

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