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Finding the Fourth Proportional to 12,837.88, 17,715.64 and 7,171.50

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Solution

The fourth proportional to 12,837.88, 17,715.64 and 7,171.50 is: 9,896.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837.88 : 17,715.64 = 7,171.50 : x
  2. Step 2: Convert to fraction form
    12,837.88/17,715.64 = 7,171.50/x
  3. Step 3: Cross multiply
    12,837.88x = 17,715.64 × 7,171.50
  4. Step 4: Simplify right side
    12,837.88x = 127,047,712.26
  5. Step 5: Solve for x
    x = 127,047,712.26/12,837.88
  6. Step 6: Final answer
    x = 9,896.32

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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.