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Finding the Fourth Proportional to 12,378.53, 18,576.90 and 7,705.35

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Solution

The fourth proportional to 12,378.53, 18,576.90 and 7,705.35 is: 11,563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.53 : 18,576.90 = 7,705.35 : x
  2. Step 2: Convert to fraction form
    12,378.53/18,576.90 = 7,705.35/x
  3. Step 3: Cross multiply
    12,378.53x = 18,576.90 × 7,705.35
  4. Step 4: Simplify right side
    12,378.53x = 143,141,516.42
  5. Step 5: Solve for x
    x = 143,141,516.42/12,378.53
  6. Step 6: Final answer
    x = 11,563.70

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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.