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Finding the Fourth Proportional to 13,530.72, 20,296.14 and 3,670.99

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Solution

The fourth proportional to 13,530.72, 20,296.14 and 3,670.99 is: 5,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.72 : 20,296.14 = 3,670.99 : x
  2. Step 2: Convert to fraction form
    13,530.72/20,296.14 = 3,670.99/x
  3. Step 3: Cross multiply
    13,530.72x = 20,296.14 × 3,670.99
  4. Step 4: Simplify right side
    13,530.72x = 74,506,926.98
  5. Step 5: Solve for x
    x = 74,506,926.98/13,530.72
  6. Step 6: Final answer
    x = 5,506.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.