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Finding the Fourth Proportional to 13,778.94, 19,011.80 and 7,809.24

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Solution

The fourth proportional to 13,778.94, 19,011.80 and 7,809.24 is: 10,774.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.94 : 19,011.80 = 7,809.24 : x
  2. Step 2: Convert to fraction form
    13,778.94/19,011.80 = 7,809.24/x
  3. Step 3: Cross multiply
    13,778.94x = 19,011.80 × 7,809.24
  4. Step 4: Simplify right side
    13,778.94x = 148,467,709.03
  5. Step 5: Solve for x
    x = 148,467,709.03/13,778.94
  6. Step 6: Final answer
    x = 10,774.97

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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.