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Finding the Fourth Proportional to 12,316, 18,473.92 and 3,082

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Solution

The fourth proportional to 12,316, 18,473.92 and 3,082 is: 4,622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,316 : 18,473.92 = 3,082 : x
  2. Step 2: Convert to fraction form
    12,316/18,473.92 = 3,082/x
  3. Step 3: Cross multiply
    12,316x = 18,473.92 × 3,082
  4. Step 4: Simplify right side
    12,316x = 56,936,621.44
  5. Step 5: Solve for x
    x = 56,936,621.44/12,316
  6. Step 6: Final answer
    x = 4,622.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.