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Finding the Fourth Proportional to 19,629, 27,087.74 and 10,676.30

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Solution

The fourth proportional to 19,629, 27,087.74 and 10,676.30 is: 14,733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,629 : 27,087.74 = 10,676.30 : x
  2. Step 2: Convert to fraction form
    19,629/27,087.74 = 10,676.30/x
  3. Step 3: Cross multiply
    19,629x = 27,087.74 × 10,676.30
  4. Step 4: Simplify right side
    19,629x = 289,196,838.56
  5. Step 5: Solve for x
    x = 289,196,838.56/19,629
  6. Step 6: Final answer
    x = 14,733.14

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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.