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Finding the Fourth Proportional to 12,530.39, 18,798.50 and 3,645.93

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Solution

The fourth proportional to 12,530.39, 18,798.50 and 3,645.93 is: 5,469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.39 : 18,798.50 = 3,645.93 : x
  2. Step 2: Convert to fraction form
    12,530.39/18,798.50 = 3,645.93/x
  3. Step 3: Cross multiply
    12,530.39x = 18,798.50 × 3,645.93
  4. Step 4: Simplify right side
    12,530.39x = 68,537,996.88
  5. Step 5: Solve for x
    x = 68,537,996.88/12,530.39
  6. Step 6: Final answer
    x = 5,469.74

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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.