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Finding the Fourth Proportional to 34,186.14, 51,279.62 and 12,000.15

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Solution

The fourth proportional to 34,186.14, 51,279.62 and 12,000.15 is: 18,000.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,186.14 : 51,279.62 = 12,000.15 : x
  2. Step 2: Convert to fraction form
    34,186.14/51,279.62 = 12,000.15/x
  3. Step 3: Cross multiply
    34,186.14x = 51,279.62 × 12,000.15
  4. Step 4: Simplify right side
    34,186.14x = 615,363,071.94
  5. Step 5: Solve for x
    x = 615,363,071.94/34,186.14
  6. Step 6: Final answer
    x = 18,000.37

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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.