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Finding the Fourth Proportional to 12,801.40, 17,665.35 and 7,136.77

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Solution

The fourth proportional to 12,801.40, 17,665.35 and 7,136.77 is: 9,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.40 : 17,665.35 = 7,136.77 : x
  2. Step 2: Convert to fraction form
    12,801.40/17,665.35 = 7,136.77/x
  3. Step 3: Cross multiply
    12,801.40x = 17,665.35 × 7,136.77
  4. Step 4: Simplify right side
    12,801.40x = 126,073,539.92
  5. Step 5: Solve for x
    x = 126,073,539.92/12,801.40
  6. Step 6: Final answer
    x = 9,848.42

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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.