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Finding the Fourth Proportional to 13,821.36, 20,813.34 and 9,952.88

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Solution

The fourth proportional to 13,821.36, 20,813.34 and 9,952.88 is: 14,987.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.36 : 20,813.34 = 9,952.88 : x
  2. Step 2: Convert to fraction form
    13,821.36/20,813.34 = 9,952.88/x
  3. Step 3: Cross multiply
    13,821.36x = 20,813.34 × 9,952.88
  4. Step 4: Simplify right side
    13,821.36x = 207,152,675.42
  5. Step 5: Solve for x
    x = 207,152,675.42/13,821.36
  6. Step 6: Final answer
    x = 14,987.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.