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Finding the Fourth Proportional to 20,475.78, 28,256.70 and 11,523.18

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Solution

The fourth proportional to 20,475.78, 28,256.70 and 11,523.18 is: 15,902.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,475.78 : 28,256.70 = 11,523.18 : x
  2. Step 2: Convert to fraction form
    20,475.78/28,256.70 = 11,523.18/x
  3. Step 3: Cross multiply
    20,475.78x = 28,256.70 × 11,523.18
  4. Step 4: Simplify right side
    20,475.78x = 325,607,040.31
  5. Step 5: Solve for x
    x = 325,607,040.31/20,475.78
  6. Step 6: Final answer
    x = 15,902.06

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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.