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Finding the Fourth Proportional to 15,729.80, 21,706.90 and 11,714.58

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Solution

The fourth proportional to 15,729.80, 21,706.90 and 11,714.58 is: 16,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729.80 : 21,706.90 = 11,714.58 : x
  2. Step 2: Convert to fraction form
    15,729.80/21,706.90 = 11,714.58/x
  3. Step 3: Cross multiply
    15,729.80x = 21,706.90 × 11,714.58
  4. Step 4: Simplify right side
    15,729.80x = 254,287,216.60
  5. Step 5: Solve for x
    x = 254,287,216.60/15,729.80
  6. Step 6: Final answer
    x = 16,165.95

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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.