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Finding the Fourth Proportional to 20,109.25, 27,754.07 and 11,159.63

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Solution

The fourth proportional to 20,109.25, 27,754.07 and 11,159.63 is: 15,402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,109.25 : 27,754.07 = 11,159.63 : x
  2. Step 2: Convert to fraction form
    20,109.25/27,754.07 = 11,159.63/x
  3. Step 3: Cross multiply
    20,109.25x = 27,754.07 × 11,159.63
  4. Step 4: Simplify right side
    20,109.25x = 309,725,152.19
  5. Step 5: Solve for x
    x = 309,725,152.19/20,109.25
  6. Step 6: Final answer
    x = 15,402.12

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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.