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Finding the Fourth Proportional to 19,810.53, 27,338.74 and 10,857.83

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Solution

The fourth proportional to 19,810.53, 27,338.74 and 10,857.83 is: 14,983.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,810.53 : 27,338.74 = 10,857.83 : x
  2. Step 2: Convert to fraction form
    19,810.53/27,338.74 = 10,857.83/x
  3. Step 3: Cross multiply
    19,810.53x = 27,338.74 × 10,857.83
  4. Step 4: Simplify right side
    19,810.53x = 296,839,391.33
  5. Step 5: Solve for x
    x = 296,839,391.33/19,810.53
  6. Step 6: Final answer
    x = 14,983.92

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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.