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Finding the Fourth Proportional to 15,682.80, 21,642.48 and 8,609.76

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Solution

The fourth proportional to 15,682.80, 21,642.48 and 8,609.76 is: 11,881.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.80 : 21,642.48 = 8,609.76 : x
  2. Step 2: Convert to fraction form
    15,682.80/21,642.48 = 8,609.76/x
  3. Step 3: Cross multiply
    15,682.80x = 21,642.48 × 8,609.76
  4. Step 4: Simplify right side
    15,682.80x = 186,336,558.60
  5. Step 5: Solve for x
    x = 186,336,558.60/15,682.80
  6. Step 6: Final answer
    x = 11,881.59

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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.