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Finding the Fourth Proportional to 17,772.80, 24,501.12 and 13,786.88

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Solution

The fourth proportional to 17,772.80, 24,501.12 and 13,786.88 is: 19,006.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772.80 : 24,501.12 = 13,786.88 : x
  2. Step 2: Convert to fraction form
    17,772.80/24,501.12 = 13,786.88/x
  3. Step 3: Cross multiply
    17,772.80x = 24,501.12 × 13,786.88
  4. Step 4: Simplify right side
    17,772.80x = 337,794,001.31
  5. Step 5: Solve for x
    x = 337,794,001.31/17,772.80
  6. Step 6: Final answer
    x = 19,006.23

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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.