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Finding the Fourth Proportional to 13,775.56, 19,012.02 and 7,808.20

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Solution

The fourth proportional to 13,775.56, 19,012.02 and 7,808.20 is: 10,776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.56 : 19,012.02 = 7,808.20 : x
  2. Step 2: Convert to fraction form
    13,775.56/19,012.02 = 7,808.20/x
  3. Step 3: Cross multiply
    13,775.56x = 19,012.02 × 7,808.20
  4. Step 4: Simplify right side
    13,775.56x = 148,449,654.56
  5. Step 5: Solve for x
    x = 148,449,654.56/13,775.56
  6. Step 6: Final answer
    x = 10,776.31

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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.