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Finding the Fourth Proportional to 13,530.69, 20,296.05 and 4,763.58

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Solution

The fourth proportional to 13,530.69, 20,296.05 and 4,763.58 is: 7,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.69 : 20,296.05 = 4,763.58 : x
  2. Step 2: Convert to fraction form
    13,530.69/20,296.05 = 4,763.58/x
  3. Step 3: Cross multiply
    13,530.69x = 20,296.05 × 4,763.58
  4. Step 4: Simplify right side
    13,530.69x = 96,681,857.86
  5. Step 5: Solve for x
    x = 96,681,857.86/13,530.69
  6. Step 6: Final answer
    x = 7,145.38

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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.