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Finding the Fourth Proportional to 19,854.65, 27,397.37 and 11,896.67

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Solution

The fourth proportional to 19,854.65, 27,397.37 and 11,896.67 is: 16,416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854.65 : 27,397.37 = 11,896.67 : x
  2. Step 2: Convert to fraction form
    19,854.65/27,397.37 = 11,896.67/x
  3. Step 3: Cross multiply
    19,854.65x = 27,397.37 × 11,896.67
  4. Step 4: Simplify right side
    19,854.65x = 325,937,273.29
  5. Step 5: Solve for x
    x = 325,937,273.29/19,854.65
  6. Step 6: Final answer
    x = 16,416.17

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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.