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Finding the Fourth Proportional to 14,514.84, 21,772.40 and 5,743.58

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Solution

The fourth proportional to 14,514.84, 21,772.40 and 5,743.58 is: 8,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514.84 : 21,772.40 = 5,743.58 : x
  2. Step 2: Convert to fraction form
    14,514.84/21,772.40 = 5,743.58/x
  3. Step 3: Cross multiply
    14,514.84x = 21,772.40 × 5,743.58
  4. Step 4: Simplify right side
    14,514.84x = 125,051,383.61
  5. Step 5: Solve for x
    x = 125,051,383.61/14,514.84
  6. Step 6: Final answer
    x = 8,615.42

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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.