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Finding the Fourth Proportional to 13,007.09, 19,505.73 and 5,610.98

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Solution

The fourth proportional to 13,007.09, 19,505.73 and 5,610.98 is: 8,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.09 : 19,505.73 = 5,610.98 : x
  2. Step 2: Convert to fraction form
    13,007.09/19,505.73 = 5,610.98/x
  3. Step 3: Cross multiply
    13,007.09x = 19,505.73 × 5,610.98
  4. Step 4: Simplify right side
    13,007.09x = 109,446,260.92
  5. Step 5: Solve for x
    x = 109,446,260.92/13,007.09
  6. Step 6: Final answer
    x = 8,414.35

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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.