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Finding the Fourth Proportional to 12,516.46, 18,774.74 and 10,165.30

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Solution

The fourth proportional to 12,516.46, 18,774.74 and 10,165.30 is: 15,247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,516.46 : 18,774.74 = 10,165.30 : x
  2. Step 2: Convert to fraction form
    12,516.46/18,774.74 = 10,165.30/x
  3. Step 3: Cross multiply
    12,516.46x = 18,774.74 × 10,165.30
  4. Step 4: Simplify right side
    12,516.46x = 190,850,864.52
  5. Step 5: Solve for x
    x = 190,850,864.52/12,516.46
  6. Step 6: Final answer
    x = 15,247.99

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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.