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Finding the Fourth Proportional to 14,224.77, 19,628.69 and 7,851.24

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Solution

The fourth proportional to 14,224.77, 19,628.69 and 7,851.24 is: 10,833.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224.77 : 19,628.69 = 7,851.24 : x
  2. Step 2: Convert to fraction form
    14,224.77/19,628.69 = 7,851.24/x
  3. Step 3: Cross multiply
    14,224.77x = 19,628.69 × 7,851.24
  4. Step 4: Simplify right side
    14,224.77x = 154,109,516.82
  5. Step 5: Solve for x
    x = 154,109,516.82/14,224.77
  6. Step 6: Final answer
    x = 10,833.88

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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.