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Finding the Fourth Proportional to 13,972.35, 20,959.56 and 5,207.25

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Solution

The fourth proportional to 13,972.35, 20,959.56 and 5,207.25 is: 7,811.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972.35 : 20,959.56 = 5,207.25 : x
  2. Step 2: Convert to fraction form
    13,972.35/20,959.56 = 5,207.25/x
  3. Step 3: Cross multiply
    13,972.35x = 20,959.56 × 5,207.25
  4. Step 4: Simplify right side
    13,972.35x = 109,141,668.81
  5. Step 5: Solve for x
    x = 109,141,668.81/13,972.35
  6. Step 6: Final answer
    x = 7,811.26

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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.