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Finding the Fourth Proportional to 13,466.87, 20,208.95 and 6,537.59

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Solution

The fourth proportional to 13,466.87, 20,208.95 and 6,537.59 is: 9,810.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.87 : 20,208.95 = 6,537.59 : x
  2. Step 2: Convert to fraction form
    13,466.87/20,208.95 = 6,537.59/x
  3. Step 3: Cross multiply
    13,466.87x = 20,208.95 × 6,537.59
  4. Step 4: Simplify right side
    13,466.87x = 132,117,829.43
  5. Step 5: Solve for x
    x = 132,117,829.43/13,466.87
  6. Step 6: Final answer
    x = 9,810.58

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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.