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Finding the Fourth Proportional to 15,687.42, 21,658.77 and 9,725.46

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Solution

The fourth proportional to 15,687.42, 21,658.77 and 9,725.46 is: 13,427.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687.42 : 21,658.77 = 9,725.46 : x
  2. Step 2: Convert to fraction form
    15,687.42/21,658.77 = 9,725.46/x
  3. Step 3: Cross multiply
    15,687.42x = 21,658.77 × 9,725.46
  4. Step 4: Simplify right side
    15,687.42x = 210,641,501.28
  5. Step 5: Solve for x
    x = 210,641,501.28/15,687.42
  6. Step 6: Final answer
    x = 13,427.42

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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.