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Finding the Fourth Proportional to 13,325.76, 19,982.88 and 5,112

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Solution

The fourth proportional to 13,325.76, 19,982.88 and 5,112 is: 7,665.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,325.76 : 19,982.88 = 5,112 : x
  2. Step 2: Convert to fraction form
    13,325.76/19,982.88 = 5,112/x
  3. Step 3: Cross multiply
    13,325.76x = 19,982.88 × 5,112
  4. Step 4: Simplify right side
    13,325.76x = 102,152,482.56
  5. Step 5: Solve for x
    x = 102,152,482.56/13,325.76
  6. Step 6: Final answer
    x = 7,665.79

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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.