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Finding the Fourth Proportional to 15,435.75, 21,306.20 and 9,846.75

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Solution

The fourth proportional to 15,435.75, 21,306.20 and 9,846.75 is: 13,591.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,435.75 : 21,306.20 = 9,846.75 : x
  2. Step 2: Convert to fraction form
    15,435.75/21,306.20 = 9,846.75/x
  3. Step 3: Cross multiply
    15,435.75x = 21,306.20 × 9,846.75
  4. Step 4: Simplify right side
    15,435.75x = 209,796,775.62
  5. Step 5: Solve for x
    x = 209,796,775.62/15,435.75
  6. Step 6: Final answer
    x = 13,591.62

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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.