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Finding the Fourth Proportional to 19,811.82, 27,340.16 and 10,859.31

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Solution

The fourth proportional to 19,811.82, 27,340.16 and 10,859.31 is: 14,985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,811.82 : 27,340.16 = 10,859.31 : x
  2. Step 2: Convert to fraction form
    19,811.82/27,340.16 = 10,859.31/x
  3. Step 3: Cross multiply
    19,811.82x = 27,340.16 × 10,859.31
  4. Step 4: Simplify right side
    19,811.82x = 296,895,116.07
  5. Step 5: Solve for x
    x = 296,895,116.07/19,811.82
  6. Step 6: Final answer
    x = 14,985.75

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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.