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Finding the Fourth Proportional to 13,747.68, 18,974.64 and 7,779.60

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Solution

The fourth proportional to 13,747.68, 18,974.64 and 7,779.60 is: 10,737.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,747.68 : 18,974.64 = 7,779.60 : x
  2. Step 2: Convert to fraction form
    13,747.68/18,974.64 = 7,779.60/x
  3. Step 3: Cross multiply
    13,747.68x = 18,974.64 × 7,779.60
  4. Step 4: Simplify right side
    13,747.68x = 147,615,109.34
  5. Step 5: Solve for x
    x = 147,615,109.34/13,747.68
  6. Step 6: Final answer
    x = 10,737.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.