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Finding the Fourth Proportional to 12,403.62, 17,116.51 and 6,738.24

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Solution

The fourth proportional to 12,403.62, 17,116.51 and 6,738.24 is: 9,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,403.62 : 17,116.51 = 6,738.24 : x
  2. Step 2: Convert to fraction form
    12,403.62/17,116.51 = 6,738.24/x
  3. Step 3: Cross multiply
    12,403.62x = 17,116.51 × 6,738.24
  4. Step 4: Simplify right side
    12,403.62x = 115,335,152.34
  5. Step 5: Solve for x
    x = 115,335,152.34/12,403.62
  6. Step 6: Final answer
    x = 9,298.51

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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.