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Finding the Fourth Proportional to 17,220.48, 23,762.25 and 9,665.16

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Solution

The fourth proportional to 17,220.48, 23,762.25 and 9,665.16 is: 13,336.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,220.48 : 23,762.25 = 9,665.16 : x
  2. Step 2: Convert to fraction form
    17,220.48/23,762.25 = 9,665.16/x
  3. Step 3: Cross multiply
    17,220.48x = 23,762.25 × 9,665.16
  4. Step 4: Simplify right side
    17,220.48x = 229,665,948.21
  5. Step 5: Solve for x
    x = 229,665,948.21/17,220.48
  6. Step 6: Final answer
    x = 13,336.79

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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.