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Finding the Fourth Proportional to 13,497.83, 20,240.08 and 4,135.59

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Solution

The fourth proportional to 13,497.83, 20,240.08 and 4,135.59 is: 6,201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.83 : 20,240.08 = 4,135.59 : x
  2. Step 2: Convert to fraction form
    13,497.83/20,240.08 = 4,135.59/x
  3. Step 3: Cross multiply
    13,497.83x = 20,240.08 × 4,135.59
  4. Step 4: Simplify right side
    13,497.83x = 83,704,747.50
  5. Step 5: Solve for x
    x = 83,704,747.50/13,497.83
  6. Step 6: Final answer
    x = 6,201.35

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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.