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Finding the Fourth Proportional to 11,556.58, 17,314.19 and 9,896.90

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Solution

The fourth proportional to 11,556.58, 17,314.19 and 9,896.90 is: 14,827.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556.58 : 17,314.19 = 9,896.90 : x
  2. Step 2: Convert to fraction form
    11,556.58/17,314.19 = 9,896.90/x
  3. Step 3: Cross multiply
    11,556.58x = 17,314.19 × 9,896.90
  4. Step 4: Simplify right side
    11,556.58x = 171,356,807.01
  5. Step 5: Solve for x
    x = 171,356,807.01/11,556.58
  6. Step 6: Final answer
    x = 14,827.64

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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.