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Finding the Fourth Proportional to 15,865.72, 21,893.14 and 9,491.04

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Solution

The fourth proportional to 15,865.72, 21,893.14 and 9,491.04 is: 13,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865.72 : 21,893.14 = 9,491.04 : x
  2. Step 2: Convert to fraction form
    15,865.72/21,893.14 = 9,491.04/x
  3. Step 3: Cross multiply
    15,865.72x = 21,893.14 × 9,491.04
  4. Step 4: Simplify right side
    15,865.72x = 207,788,667.47
  5. Step 5: Solve for x
    x = 207,788,667.47/15,865.72
  6. Step 6: Final answer
    x = 13,096.71

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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.