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Finding the Fourth Proportional to 15,741.75, 21,725.37 and 9,369.84

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Solution

The fourth proportional to 15,741.75, 21,725.37 and 9,369.84 is: 12,931.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,741.75 : 21,725.37 = 9,369.84 : x
  2. Step 2: Convert to fraction form
    15,741.75/21,725.37 = 9,369.84/x
  3. Step 3: Cross multiply
    15,741.75x = 21,725.37 × 9,369.84
  4. Step 4: Simplify right side
    15,741.75x = 203,563,240.84
  5. Step 5: Solve for x
    x = 203,563,240.84/15,741.75
  6. Step 6: Final answer
    x = 12,931.42

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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.