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Finding the Fourth Proportional to 13,181.46, 19,678.20 and 12,720.12

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Solution

The fourth proportional to 13,181.46, 19,678.20 and 12,720.12 is: 18,989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181.46 : 19,678.20 = 12,720.12 : x
  2. Step 2: Convert to fraction form
    13,181.46/19,678.20 = 12,720.12/x
  3. Step 3: Cross multiply
    13,181.46x = 19,678.20 × 12,720.12
  4. Step 4: Simplify right side
    13,181.46x = 250,309,065.38
  5. Step 5: Solve for x
    x = 250,309,065.38/13,181.46
  6. Step 6: Final answer
    x = 18,989.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.