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Finding the Fourth Proportional to 17,265.42, 23,824.53 and 9,710.55

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Solution

The fourth proportional to 17,265.42, 23,824.53 and 9,710.55 is: 13,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,265.42 : 23,824.53 = 9,710.55 : x
  2. Step 2: Convert to fraction form
    17,265.42/23,824.53 = 9,710.55/x
  3. Step 3: Cross multiply
    17,265.42x = 23,824.53 × 9,710.55
  4. Step 4: Simplify right side
    17,265.42x = 231,349,289.79
  5. Step 5: Solve for x
    x = 231,349,289.79/17,265.42
  6. Step 6: Final answer
    x = 13,399.57

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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.