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Finding the Fourth Proportional to 17,225.84, 23,771.58 and 9,773.84

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Solution

The fourth proportional to 17,225.84, 23,771.58 and 9,773.84 is: 13,487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,225.84 : 23,771.58 = 9,773.84 : x
  2. Step 2: Convert to fraction form
    17,225.84/23,771.58 = 9,773.84/x
  3. Step 3: Cross multiply
    17,225.84x = 23,771.58 × 9,773.84
  4. Step 4: Simplify right side
    17,225.84x = 232,339,619.47
  5. Step 5: Solve for x
    x = 232,339,619.47/17,225.84
  6. Step 6: Final answer
    x = 13,487.85

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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.