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Finding the Fourth Proportional to 14,301.30, 19,736.29 and 7,927.82

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Solution

The fourth proportional to 14,301.30, 19,736.29 and 7,927.82 is: 10,940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,301.30 : 19,736.29 = 7,927.82 : x
  2. Step 2: Convert to fraction form
    14,301.30/19,736.29 = 7,927.82/x
  3. Step 3: Cross multiply
    14,301.30x = 19,736.29 × 7,927.82
  4. Step 4: Simplify right side
    14,301.30x = 156,465,754.59
  5. Step 5: Solve for x
    x = 156,465,754.59/14,301.30
  6. Step 6: Final answer
    x = 10,940.67

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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.