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Finding the Fourth Proportional to 17,214.75, 23,756.36 and 9,762.75

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Solution

The fourth proportional to 17,214.75, 23,756.36 and 9,762.75 is: 13,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,214.75 : 23,756.36 = 9,762.75 : x
  2. Step 2: Convert to fraction form
    17,214.75/23,756.36 = 9,762.75/x
  3. Step 3: Cross multiply
    17,214.75x = 23,756.36 × 9,762.75
  4. Step 4: Simplify right side
    17,214.75x = 231,927,354.78
  5. Step 5: Solve for x
    x = 231,927,354.78/17,214.75
  6. Step 6: Final answer
    x = 13,472.60

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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.