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Finding the Fourth Proportional to 20,307.64, 30,418.26 and 11,538.04

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Solution

The fourth proportional to 20,307.64, 30,418.26 and 11,538.04 is: 17,282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,307.64 : 30,418.26 = 11,538.04 : x
  2. Step 2: Convert to fraction form
    20,307.64/30,418.26 = 11,538.04/x
  3. Step 3: Cross multiply
    20,307.64x = 30,418.26 × 11,538.04
  4. Step 4: Simplify right side
    20,307.64x = 350,967,100.61
  5. Step 5: Solve for x
    x = 350,967,100.61/20,307.64
  6. Step 6: Final answer
    x = 17,282.52

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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.