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Finding the Fourth Proportional to 17,762.31, 24,512.09 and 9,804.56

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Solution

The fourth proportional to 17,762.31, 24,512.09 and 9,804.56 is: 13,530.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.31 : 24,512.09 = 9,804.56 : x
  2. Step 2: Convert to fraction form
    17,762.31/24,512.09 = 9,804.56/x
  3. Step 3: Cross multiply
    17,762.31x = 24,512.09 × 9,804.56
  4. Step 4: Simplify right side
    17,762.31x = 240,330,085.55
  5. Step 5: Solve for x
    x = 240,330,085.55/17,762.31
  6. Step 6: Final answer
    x = 13,530.34

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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.