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Finding the Fourth Proportional to 13,221.80, 19,837.88 and 5,821.07

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Solution

The fourth proportional to 13,221.80, 19,837.88 and 5,821.07 is: 8,733.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,221.80 : 19,837.88 = 5,821.07 : x
  2. Step 2: Convert to fraction form
    13,221.80/19,837.88 = 5,821.07/x
  3. Step 3: Cross multiply
    13,221.80x = 19,837.88 × 5,821.07
  4. Step 4: Simplify right side
    13,221.80x = 115,477,603.49
  5. Step 5: Solve for x
    x = 115,477,603.49/13,221.80
  6. Step 6: Final answer
    x = 8,733.88

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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.