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Finding the Fourth Proportional to 13,735.58, 20,596.55 and 4,374.38

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Solution

The fourth proportional to 13,735.58, 20,596.55 and 4,374.38 is: 6,559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.58 : 20,596.55 = 4,374.38 : x
  2. Step 2: Convert to fraction form
    13,735.58/20,596.55 = 4,374.38/x
  3. Step 3: Cross multiply
    13,735.58x = 20,596.55 × 4,374.38
  4. Step 4: Simplify right side
    13,735.58x = 90,097,044.34
  5. Step 5: Solve for x
    x = 90,097,044.34/13,735.58
  6. Step 6: Final answer
    x = 6,559.39

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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.