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Finding the Fourth Proportional to 11,346.93, 17,007.80 and 8,564.58

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Solution

The fourth proportional to 11,346.93, 17,007.80 and 8,564.58 is: 12,837.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.93 : 17,007.80 = 8,564.58 : x
  2. Step 2: Convert to fraction form
    11,346.93/17,007.80 = 8,564.58/x
  3. Step 3: Cross multiply
    11,346.93x = 17,007.80 × 8,564.58
  4. Step 4: Simplify right side
    11,346.93x = 145,664,620.90
  5. Step 5: Solve for x
    x = 145,664,620.90/11,346.93
  6. Step 6: Final answer
    x = 12,837.36

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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.