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Finding the Fourth Proportional to 13,538.56, 20,307.84 and 4,304.56

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Solution

The fourth proportional to 13,538.56, 20,307.84 and 4,304.56 is: 6,456.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.56 : 20,307.84 = 4,304.56 : x
  2. Step 2: Convert to fraction form
    13,538.56/20,307.84 = 4,304.56/x
  3. Step 3: Cross multiply
    13,538.56x = 20,307.84 × 4,304.56
  4. Step 4: Simplify right side
    13,538.56x = 87,416,315.75
  5. Step 5: Solve for x
    x = 87,416,315.75/13,538.56
  6. Step 6: Final answer
    x = 6,456.84

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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.