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Finding the Fourth Proportional to 17,230.16, 23,771.40 and 9,773.84

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Solution

The fourth proportional to 17,230.16, 23,771.40 and 9,773.84 is: 13,484.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,230.16 : 23,771.40 = 9,773.84 : x
  2. Step 2: Convert to fraction form
    17,230.16/23,771.40 = 9,773.84/x
  3. Step 3: Cross multiply
    17,230.16x = 23,771.40 × 9,773.84
  4. Step 4: Simplify right side
    17,230.16x = 232,337,860.18
  5. Step 5: Solve for x
    x = 232,337,860.18/17,230.16
  6. Step 6: Final answer
    x = 13,484.37

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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.