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Finding the Fourth Proportional to 13,078.96, 19,606.16 and 7,815.44

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Solution

The fourth proportional to 13,078.96, 19,606.16 and 7,815.44 is: 11,715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.96 : 19,606.16 = 7,815.44 : x
  2. Step 2: Convert to fraction form
    13,078.96/19,606.16 = 7,815.44/x
  3. Step 3: Cross multiply
    13,078.96x = 19,606.16 × 7,815.44
  4. Step 4: Simplify right side
    13,078.96x = 153,230,767.11
  5. Step 5: Solve for x
    x = 153,230,767.11/13,078.96
  6. Step 6: Final answer
    x = 11,715.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.