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Finding the Fourth Proportional to 15,705.24, 21,673.61 and 8,631.81

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Solution

The fourth proportional to 15,705.24, 21,673.61 and 8,631.81 is: 11,912.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.24 : 21,673.61 = 8,631.81 : x
  2. Step 2: Convert to fraction form
    15,705.24/21,673.61 = 8,631.81/x
  3. Step 3: Cross multiply
    15,705.24x = 21,673.61 × 8,631.81
  4. Step 4: Simplify right side
    15,705.24x = 187,082,440.38
  5. Step 5: Solve for x
    x = 187,082,440.38/15,705.24
  6. Step 6: Final answer
    x = 11,912.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.