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Finding the Fourth Proportional to 13,513.86, 20,270.79 and 11,521.26

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Solution

The fourth proportional to 13,513.86, 20,270.79 and 11,521.26 is: 17,281.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,513.86 : 20,270.79 = 11,521.26 : x
  2. Step 2: Convert to fraction form
    13,513.86/20,270.79 = 11,521.26/x
  3. Step 3: Cross multiply
    13,513.86x = 20,270.79 × 11,521.26
  4. Step 4: Simplify right side
    13,513.86x = 233,545,042.00
  5. Step 5: Solve for x
    x = 233,545,042.00/13,513.86
  6. Step 6: Final answer
    x = 17,281.89

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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.