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Finding the Fourth Proportional to 13,305.78, 19,932 and 8,609.58

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Solution

The fourth proportional to 13,305.78, 19,932 and 8,609.58 is: 12,897.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,305.78 : 19,932 = 8,609.58 : x
  2. Step 2: Convert to fraction form
    13,305.78/19,932 = 8,609.58/x
  3. Step 3: Cross multiply
    13,305.78x = 19,932 × 8,609.58
  4. Step 4: Simplify right side
    13,305.78x = 171,606,148.56
  5. Step 5: Solve for x
    x = 171,606,148.56/13,305.78
  6. Step 6: Final answer
    x = 12,897.11

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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.