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Finding the Fourth Proportional to 13,126.79, 19,678.29 and 5,234.74

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Solution

The fourth proportional to 13,126.79, 19,678.29 and 5,234.74 is: 7,847.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,126.79 : 19,678.29 = 5,234.74 : x
  2. Step 2: Convert to fraction form
    13,126.79/19,678.29 = 5,234.74/x
  3. Step 3: Cross multiply
    13,126.79x = 19,678.29 × 5,234.74
  4. Step 4: Simplify right side
    13,126.79x = 103,010,662.97
  5. Step 5: Solve for x
    x = 103,010,662.97/13,126.79
  6. Step 6: Final answer
    x = 7,847.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.