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Finding the Fourth Proportional to 13,321.56, 19,959.66 and 7,463.64

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Solution

The fourth proportional to 13,321.56, 19,959.66 and 7,463.64 is: 11,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,321.56 : 19,959.66 = 7,463.64 : x
  2. Step 2: Convert to fraction form
    13,321.56/19,959.66 = 7,463.64/x
  3. Step 3: Cross multiply
    13,321.56x = 19,959.66 × 7,463.64
  4. Step 4: Simplify right side
    13,321.56x = 148,971,716.76
  5. Step 5: Solve for x
    x = 148,971,716.76/13,321.56
  6. Step 6: Final answer
    x = 11,182.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.