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Finding the Fourth Proportional to 15,705.16, 21,672.32 and 8,631.80

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Solution

The fourth proportional to 15,705.16, 21,672.32 and 8,631.80 is: 11,911.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.16 : 21,672.32 = 8,631.80 : x
  2. Step 2: Convert to fraction form
    15,705.16/21,672.32 = 8,631.80/x
  3. Step 3: Cross multiply
    15,705.16x = 21,672.32 × 8,631.80
  4. Step 4: Simplify right side
    15,705.16x = 187,071,131.78
  5. Step 5: Solve for x
    x = 187,071,131.78/15,705.16
  6. Step 6: Final answer
    x = 11,911.44

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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.