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Finding the Fourth Proportional to 13,567.58, 20,352.14 and 4,208.93

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Solution

The fourth proportional to 13,567.58, 20,352.14 and 4,208.93 is: 6,313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,567.58 : 20,352.14 = 4,208.93 : x
  2. Step 2: Convert to fraction form
    13,567.58/20,352.14 = 4,208.93/x
  3. Step 3: Cross multiply
    13,567.58x = 20,352.14 × 4,208.93
  4. Step 4: Simplify right side
    13,567.58x = 85,660,732.61
  5. Step 5: Solve for x
    x = 85,660,732.61/13,567.58
  6. Step 6: Final answer
    x = 6,313.63

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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.