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Finding the Fourth Proportional to 13,776.96, 19,012.78 and 7,808.56

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Solution

The fourth proportional to 13,776.96, 19,012.78 and 7,808.56 is: 10,776.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.96 : 19,012.78 = 7,808.56 : x
  2. Step 2: Convert to fraction form
    13,776.96/19,012.78 = 7,808.56/x
  3. Step 3: Cross multiply
    13,776.96x = 19,012.78 × 7,808.56
  4. Step 4: Simplify right side
    13,776.96x = 148,462,433.40
  5. Step 5: Solve for x
    x = 148,462,433.40/13,776.96
  6. Step 6: Final answer
    x = 10,776.14

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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.