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Finding the Fourth Proportional to 12,301.74, 16,997.04 and 9,802.49

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Solution

The fourth proportional to 12,301.74, 16,997.04 and 9,802.49 is: 13,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.74 : 16,997.04 = 9,802.49 : x
  2. Step 2: Convert to fraction form
    12,301.74/16,997.04 = 9,802.49/x
  3. Step 3: Cross multiply
    12,301.74x = 16,997.04 × 9,802.49
  4. Step 4: Simplify right side
    12,301.74x = 166,613,229.64
  5. Step 5: Solve for x
    x = 166,613,229.64/12,301.74
  6. Step 6: Final answer
    x = 13,543.88

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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.