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Finding the Fourth Proportional to 17,295.42, 23,865.90 and 9,740.55

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Solution

The fourth proportional to 17,295.42, 23,865.90 and 9,740.55 is: 13,440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,295.42 : 23,865.90 = 9,740.55 : x
  2. Step 2: Convert to fraction form
    17,295.42/23,865.90 = 9,740.55/x
  3. Step 3: Cross multiply
    17,295.42x = 23,865.90 × 9,740.55
  4. Step 4: Simplify right side
    17,295.42x = 232,466,992.25
  5. Step 5: Solve for x
    x = 232,466,992.25/17,295.42
  6. Step 6: Final answer
    x = 13,440.96

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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.