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Finding the Fourth Proportional to 30,186.27, 45,284.27 and 12,657.87

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Solution

The fourth proportional to 30,186.27, 45,284.27 and 12,657.87 is: 18,988.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,186.27 : 45,284.27 = 12,657.87 : x
  2. Step 2: Convert to fraction form
    30,186.27/45,284.27 = 12,657.87/x
  3. Step 3: Cross multiply
    30,186.27x = 45,284.27 × 12,657.87
  4. Step 4: Simplify right side
    30,186.27x = 573,202,339.42
  5. Step 5: Solve for x
    x = 573,202,339.42/30,186.27
  6. Step 6: Final answer
    x = 18,988.84

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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.