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Finding the Fourth Proportional to 12,857.87, 17,745.50 and 7,192.93

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Solution

The fourth proportional to 12,857.87, 17,745.50 and 7,192.93 is: 9,927.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.87 : 17,745.50 = 7,192.93 : x
  2. Step 2: Convert to fraction form
    12,857.87/17,745.50 = 7,192.93/x
  3. Step 3: Cross multiply
    12,857.87x = 17,745.50 × 7,192.93
  4. Step 4: Simplify right side
    12,857.87x = 127,642,139.32
  5. Step 5: Solve for x
    x = 127,642,139.32/12,857.87
  6. Step 6: Final answer
    x = 9,927.16

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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.