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Finding the Fourth Proportional to 21,701.66, 32,515.32 and 11,847.84

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Solution

The fourth proportional to 21,701.66, 32,515.32 and 11,847.84 is: 17,751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,701.66 : 32,515.32 = 11,847.84 : x
  2. Step 2: Convert to fraction form
    21,701.66/32,515.32 = 11,847.84/x
  3. Step 3: Cross multiply
    21,701.66x = 32,515.32 × 11,847.84
  4. Step 4: Simplify right side
    21,701.66x = 385,236,308.91
  5. Step 5: Solve for x
    x = 385,236,308.91/21,701.66
  6. Step 6: Final answer
    x = 17,751.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.