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Finding the Fourth Proportional to 12,682.32, 17,518.33 and 9,734.58

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Solution

The fourth proportional to 12,682.32, 17,518.33 and 9,734.58 is: 13,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.32 : 17,518.33 = 9,734.58 : x
  2. Step 2: Convert to fraction form
    12,682.32/17,518.33 = 9,734.58/x
  3. Step 3: Cross multiply
    12,682.32x = 17,518.33 × 9,734.58
  4. Step 4: Simplify right side
    12,682.32x = 170,533,542.26
  5. Step 5: Solve for x
    x = 170,533,542.26/12,682.32
  6. Step 6: Final answer
    x = 13,446.56

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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.