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Finding the Fourth Proportional to 13,221.25, 19,805.42 and 7,953.35

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Solution

The fourth proportional to 13,221.25, 19,805.42 and 7,953.35 is: 11,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,221.25 : 19,805.42 = 7,953.35 : x
  2. Step 2: Convert to fraction form
    13,221.25/19,805.42 = 7,953.35/x
  3. Step 3: Cross multiply
    13,221.25x = 19,805.42 × 7,953.35
  4. Step 4: Simplify right side
    13,221.25x = 157,519,358.01
  5. Step 5: Solve for x
    x = 157,519,358.01/13,221.25
  6. Step 6: Final answer
    x = 11,914.11

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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.