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Finding the Fourth Proportional to 13,007.74, 19,517.54 and 5,513.35

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Solution

The fourth proportional to 13,007.74, 19,517.54 and 5,513.35 is: 8,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.74 : 19,517.54 = 5,513.35 : x
  2. Step 2: Convert to fraction form
    13,007.74/19,517.54 = 5,513.35/x
  3. Step 3: Cross multiply
    13,007.74x = 19,517.54 × 5,513.35
  4. Step 4: Simplify right side
    13,007.74x = 107,607,001.59
  5. Step 5: Solve for x
    x = 107,607,001.59/13,007.74
  6. Step 6: Final answer
    x = 8,272.54

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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.