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Finding the Fourth Proportional to 19,810.68, 27,338.58 and 11,427

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Solution

The fourth proportional to 19,810.68, 27,338.58 and 11,427 is: 15,769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,810.68 : 27,338.58 = 11,427 : x
  2. Step 2: Convert to fraction form
    19,810.68/27,338.58 = 11,427/x
  3. Step 3: Cross multiply
    19,810.68x = 27,338.58 × 11,427
  4. Step 4: Simplify right side
    19,810.68x = 312,397,953.66
  5. Step 5: Solve for x
    x = 312,397,953.66/19,810.68
  6. Step 6: Final answer
    x = 15,769.17

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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.