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Finding the Fourth Proportional to 12,857.17, 19,232.43 and 12,069.85

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Solution

The fourth proportional to 12,857.17, 19,232.43 and 12,069.85 is: 18,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.17 : 19,232.43 = 12,069.85 : x
  2. Step 2: Convert to fraction form
    12,857.17/19,232.43 = 12,069.85/x
  3. Step 3: Cross multiply
    12,857.17x = 19,232.43 × 12,069.85
  4. Step 4: Simplify right side
    12,857.17x = 232,132,545.24
  5. Step 5: Solve for x
    x = 232,132,545.24/12,857.17
  6. Step 6: Final answer
    x = 18,054.72

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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.