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Finding the Fourth Proportional to 15,082, 22,623.64 and 4,138

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Solution

The fourth proportional to 15,082, 22,623.64 and 4,138 is: 6,207.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,082 : 22,623.64 = 4,138 : x
  2. Step 2: Convert to fraction form
    15,082/22,623.64 = 4,138/x
  3. Step 3: Cross multiply
    15,082x = 22,623.64 × 4,138
  4. Step 4: Simplify right side
    15,082x = 93,616,622.32
  5. Step 5: Solve for x
    x = 93,616,622.32/15,082
  6. Step 6: Final answer
    x = 6,207.18

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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.