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Finding the Fourth Proportional to 17,289.42, 23,857.62 and 9,734.55

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Solution

The fourth proportional to 17,289.42, 23,857.62 and 9,734.55 is: 13,432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,289.42 : 23,857.62 = 9,734.55 : x
  2. Step 2: Convert to fraction form
    17,289.42/23,857.62 = 9,734.55/x
  3. Step 3: Cross multiply
    17,289.42x = 23,857.62 × 9,734.55
  4. Step 4: Simplify right side
    17,289.42x = 232,243,194.77
  5. Step 5: Solve for x
    x = 232,243,194.77/17,289.42
  6. Step 6: Final answer
    x = 13,432.68

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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.