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Finding the Fourth Proportional to 19,808.09, 27,335.79 and 10,856.16

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Solution

The fourth proportional to 19,808.09, 27,335.79 and 10,856.16 is: 14,981.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,808.09 : 27,335.79 = 10,856.16 : x
  2. Step 2: Convert to fraction form
    19,808.09/27,335.79 = 10,856.16/x
  3. Step 3: Cross multiply
    19,808.09x = 27,335.79 × 10,856.16
  4. Step 4: Simplify right side
    19,808.09x = 296,761,709.97
  5. Step 5: Solve for x
    x = 296,761,709.97/19,808.09
  6. Step 6: Final answer
    x = 14,981.85

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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.