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Finding the Fourth Proportional to 17,735.44, 24,475.08 and 9,777.95

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Solution

The fourth proportional to 17,735.44, 24,475.08 and 9,777.95 is: 13,493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.44 : 24,475.08 = 9,777.95 : x
  2. Step 2: Convert to fraction form
    17,735.44/24,475.08 = 9,777.95/x
  3. Step 3: Cross multiply
    17,735.44x = 24,475.08 × 9,777.95
  4. Step 4: Simplify right side
    17,735.44x = 239,316,059.60
  5. Step 5: Solve for x
    x = 239,316,059.60/17,735.44
  6. Step 6: Final answer
    x = 13,493.66

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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.