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Finding the Fourth Proportional to 13,530.72, 20,290.08 and 6,134.88

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Solution

The fourth proportional to 13,530.72, 20,290.08 and 6,134.88 is: 9,199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.72 : 20,290.08 = 6,134.88 : x
  2. Step 2: Convert to fraction form
    13,530.72/20,290.08 = 6,134.88/x
  3. Step 3: Cross multiply
    13,530.72x = 20,290.08 × 6,134.88
  4. Step 4: Simplify right side
    13,530.72x = 124,477,205.99
  5. Step 5: Solve for x
    x = 124,477,205.99/13,530.72
  6. Step 6: Final answer
    x = 9,199.60

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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.