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Finding the Fourth Proportional to 15,705.14, 21,673.12 and 8,631.98

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Solution

The fourth proportional to 15,705.14, 21,673.12 and 8,631.98 is: 11,912.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.14 : 21,673.12 = 8,631.98 : x
  2. Step 2: Convert to fraction form
    15,705.14/21,673.12 = 8,631.98/x
  3. Step 3: Cross multiply
    15,705.14x = 21,673.12 × 8,631.98
  4. Step 4: Simplify right side
    15,705.14x = 187,081,938.38
  5. Step 5: Solve for x
    x = 187,081,938.38/15,705.14
  6. Step 6: Final answer
    x = 11,912.15

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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.