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Finding the Fourth Proportional to 13,813.58, 20,696.94 and 8,535.44

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Solution

The fourth proportional to 13,813.58, 20,696.94 and 8,535.44 is: 12,788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.58 : 20,696.94 = 8,535.44 : x
  2. Step 2: Convert to fraction form
    13,813.58/20,696.94 = 8,535.44/x
  3. Step 3: Cross multiply
    13,813.58x = 20,696.94 × 8,535.44
  4. Step 4: Simplify right side
    13,813.58x = 176,657,386.07
  5. Step 5: Solve for x
    x = 176,657,386.07/13,813.58
  6. Step 6: Final answer
    x = 12,788.68

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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.