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Finding the Fourth Proportional to 13,178.76, 19,768.16 and 3,318

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Solution

The fourth proportional to 13,178.76, 19,768.16 and 3,318 is: 4,977.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.76 : 19,768.16 = 3,318 : x
  2. Step 2: Convert to fraction form
    13,178.76/19,768.16 = 3,318/x
  3. Step 3: Cross multiply
    13,178.76x = 19,768.16 × 3,318
  4. Step 4: Simplify right side
    13,178.76x = 65,590,754.88
  5. Step 5: Solve for x
    x = 65,590,754.88/13,178.76
  6. Step 6: Final answer
    x = 4,977.01

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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.