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Finding the Fourth Proportional to 19,382, 29,072.82 and 12,837.46

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Solution

The fourth proportional to 19,382, 29,072.82 and 12,837.46 is: 19,256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,382 : 29,072.82 = 12,837.46 : x
  2. Step 2: Convert to fraction form
    19,382/29,072.82 = 12,837.46/x
  3. Step 3: Cross multiply
    19,382x = 29,072.82 × 12,837.46
  4. Step 4: Simplify right side
    19,382x = 373,221,163.84
  5. Step 5: Solve for x
    x = 373,221,163.84/19,382
  6. Step 6: Final answer
    x = 19,256.07

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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.