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Finding the Fourth Proportional to 15,705.40, 21,673.44 and 8,631.82

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Solution

The fourth proportional to 15,705.40, 21,673.44 and 8,631.82 is: 11,911.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.40 : 21,673.44 = 8,631.82 : x
  2. Step 2: Convert to fraction form
    15,705.40/21,673.44 = 8,631.82/x
  3. Step 3: Cross multiply
    15,705.40x = 21,673.44 × 8,631.82
  4. Step 4: Simplify right side
    15,705.40x = 187,081,232.86
  5. Step 5: Solve for x
    x = 187,081,232.86/15,705.40
  6. Step 6: Final answer
    x = 11,911.91

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