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Finding the Fourth Proportional to 20,207.54, 27,886.34 and 11,255.16

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Solution

The fourth proportional to 20,207.54, 27,886.34 and 11,255.16 is: 15,532.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,207.54 : 27,886.34 = 11,255.16 : x
  2. Step 2: Convert to fraction form
    20,207.54/27,886.34 = 11,255.16/x
  3. Step 3: Cross multiply
    20,207.54x = 27,886.34 × 11,255.16
  4. Step 4: Simplify right side
    20,207.54x = 313,865,218.51
  5. Step 5: Solve for x
    x = 313,865,218.51/20,207.54
  6. Step 6: Final answer
    x = 15,532.08

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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.