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Finding the Fourth Proportional to 13,202.34, 19,806.01 and 5,305.47

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Solution

The fourth proportional to 13,202.34, 19,806.01 and 5,305.47 is: 7,959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.34 : 19,806.01 = 5,305.47 : x
  2. Step 2: Convert to fraction form
    13,202.34/19,806.01 = 5,305.47/x
  3. Step 3: Cross multiply
    13,202.34x = 19,806.01 × 5,305.47
  4. Step 4: Simplify right side
    13,202.34x = 105,080,178.61
  5. Step 5: Solve for x
    x = 105,080,178.61/13,202.34
  6. Step 6: Final answer
    x = 7,959.21

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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.