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Finding the Fourth Proportional to 12,725.72, 17,561.46 and 7,136.84

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Solution

The fourth proportional to 12,725.72, 17,561.46 and 7,136.84 is: 9,848.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,725.72 : 17,561.46 = 7,136.84 : x
  2. Step 2: Convert to fraction form
    12,725.72/17,561.46 = 7,136.84/x
  3. Step 3: Cross multiply
    12,725.72x = 17,561.46 × 7,136.84
  4. Step 4: Simplify right side
    12,725.72x = 125,333,330.19
  5. Step 5: Solve for x
    x = 125,333,330.19/12,725.72
  6. Step 6: Final answer
    x = 9,848.82

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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.