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Finding the Fourth Proportional to 20,972.25, 28,941.81 and 11,412.23

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Solution

The fourth proportional to 20,972.25, 28,941.81 and 11,412.23 is: 15,748.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,972.25 : 28,941.81 = 11,412.23 : x
  2. Step 2: Convert to fraction form
    20,972.25/28,941.81 = 11,412.23/x
  3. Step 3: Cross multiply
    20,972.25x = 28,941.81 × 11,412.23
  4. Step 4: Simplify right side
    20,972.25x = 330,290,404.83
  5. Step 5: Solve for x
    x = 330,290,404.83/20,972.25
  6. Step 6: Final answer
    x = 15,748.93

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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.