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Finding the Fourth Proportional to 37,143.42, 55,709.46 and 12,186

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Solution

The fourth proportional to 37,143.42, 55,709.46 and 12,186 is: 18,277.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,143.42 : 55,709.46 = 12,186 : x
  2. Step 2: Convert to fraction form
    37,143.42/55,709.46 = 12,186/x
  3. Step 3: Cross multiply
    37,143.42x = 55,709.46 × 12,186
  4. Step 4: Simplify right side
    37,143.42x = 678,875,479.56
  5. Step 5: Solve for x
    x = 678,875,479.56/37,143.42
  6. Step 6: Final answer
    x = 18,277.14

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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.