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Finding the Fourth Proportional to 13,272.84, 19,902.54 and 7,427.88

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Solution

The fourth proportional to 13,272.84, 19,902.54 and 7,427.88 is: 11,138.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,272.84 : 19,902.54 = 7,427.88 : x
  2. Step 2: Convert to fraction form
    13,272.84/19,902.54 = 7,427.88/x
  3. Step 3: Cross multiply
    13,272.84x = 19,902.54 × 7,427.88
  4. Step 4: Simplify right side
    13,272.84x = 147,833,678.82
  5. Step 5: Solve for x
    x = 147,833,678.82/13,272.84
  6. Step 6: Final answer
    x = 11,138.06

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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.