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Finding the Fourth Proportional to 15,819.96, 21,834.42 and 9,447

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Solution

The fourth proportional to 15,819.96, 21,834.42 and 9,447 is: 13,038.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,819.96 : 21,834.42 = 9,447 : x
  2. Step 2: Convert to fraction form
    15,819.96/21,834.42 = 9,447/x
  3. Step 3: Cross multiply
    15,819.96x = 21,834.42 × 9,447
  4. Step 4: Simplify right side
    15,819.96x = 206,269,765.74
  5. Step 5: Solve for x
    x = 206,269,765.74/15,819.96
  6. Step 6: Final answer
    x = 13,038.58

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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.