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Finding the Fourth Proportional to 17,735.71, 24,476.37 and 9,777.91

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Solution

The fourth proportional to 17,735.71, 24,476.37 and 9,777.91 is: 13,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.71 : 24,476.37 = 9,777.91 : x
  2. Step 2: Convert to fraction form
    17,735.71/24,476.37 = 9,777.91/x
  3. Step 3: Cross multiply
    17,735.71x = 24,476.37 × 9,777.91
  4. Step 4: Simplify right side
    17,735.71x = 239,327,742.99
  5. Step 5: Solve for x
    x = 239,327,742.99/17,735.71
  6. Step 6: Final answer
    x = 13,494.12

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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.