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Finding the Fourth Proportional to 13,530.47, 20,296.42 and 3,670.79

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Solution

The fourth proportional to 13,530.47, 20,296.42 and 3,670.79 is: 5,506.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.47 : 20,296.42 = 3,670.79 : x
  2. Step 2: Convert to fraction form
    13,530.47/20,296.42 = 3,670.79/x
  3. Step 3: Cross multiply
    13,530.47x = 20,296.42 × 3,670.79
  4. Step 4: Simplify right side
    13,530.47x = 74,503,784.91
  5. Step 5: Solve for x
    x = 74,503,784.91/13,530.47
  6. Step 6: Final answer
    x = 5,506.37

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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.