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Finding the Fourth Proportional to 23,681.82, 32,682 and 13,613.52

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Solution

The fourth proportional to 23,681.82, 32,682 and 13,613.52 is: 18,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,681.82 : 32,682 = 13,613.52 : x
  2. Step 2: Convert to fraction form
    23,681.82/32,682 = 13,613.52/x
  3. Step 3: Cross multiply
    23,681.82x = 32,682 × 13,613.52
  4. Step 4: Simplify right side
    23,681.82x = 444,917,060.64
  5. Step 5: Solve for x
    x = 444,917,060.64/23,681.82
  6. Step 6: Final answer
    x = 18,787.28

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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.