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Finding the Fourth Proportional to 13,815.72, 19,065.65 and 7,846.20

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Solution

The fourth proportional to 13,815.72, 19,065.65 and 7,846.20 is: 10,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.72 : 19,065.65 = 7,846.20 : x
  2. Step 2: Convert to fraction form
    13,815.72/19,065.65 = 7,846.20/x
  3. Step 3: Cross multiply
    13,815.72x = 19,065.65 × 7,846.20
  4. Step 4: Simplify right side
    13,815.72x = 149,592,863.80
  5. Step 5: Solve for x
    x = 149,592,863.80/13,815.72
  6. Step 6: Final answer
    x = 10,827.73

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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.