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Finding the Fourth Proportional to 19,854.56, 27,381 and 13,490.68

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Solution

The fourth proportional to 19,854.56, 27,381 and 13,490.68 is: 18,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854.56 : 27,381 = 13,490.68 : x
  2. Step 2: Convert to fraction form
    19,854.56/27,381 = 13,490.68/x
  3. Step 3: Cross multiply
    19,854.56x = 27,381 × 13,490.68
  4. Step 4: Simplify right side
    19,854.56x = 369,388,309.08
  5. Step 5: Solve for x
    x = 369,388,309.08/19,854.56
  6. Step 6: Final answer
    x = 18,604.71

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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.