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Finding the Fourth Proportional to 12,588.57, 17,371.86 and 6,923.34

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Solution

The fourth proportional to 12,588.57, 17,371.86 and 6,923.34 is: 9,554.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,588.57 : 17,371.86 = 6,923.34 : x
  2. Step 2: Convert to fraction form
    12,588.57/17,371.86 = 6,923.34/x
  3. Step 3: Cross multiply
    12,588.57x = 17,371.86 × 6,923.34
  4. Step 4: Simplify right side
    12,588.57x = 120,271,293.21
  5. Step 5: Solve for x
    x = 120,271,293.21/12,588.57
  6. Step 6: Final answer
    x = 9,554.01

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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.