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Finding the Fourth Proportional to 17,735.54, 24,475.10 and 9,777.60

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Solution

The fourth proportional to 17,735.54, 24,475.10 and 9,777.60 is: 13,493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.54 : 24,475.10 = 9,777.60 : x
  2. Step 2: Convert to fraction form
    17,735.54/24,475.10 = 9,777.60/x
  3. Step 3: Cross multiply
    17,735.54x = 24,475.10 × 9,777.60
  4. Step 4: Simplify right side
    17,735.54x = 239,307,688.87
  5. Step 5: Solve for x
    x = 239,307,688.87/17,735.54
  6. Step 6: Final answer
    x = 13,493.12

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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.