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Finding the Fourth Proportional to 17,649.42, 26,457.42 and 6,548.57

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Solution

The fourth proportional to 17,649.42, 26,457.42 and 6,548.57 is: 9,816.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.42 : 26,457.42 = 6,548.57 : x
  2. Step 2: Convert to fraction form
    17,649.42/26,457.42 = 6,548.57/x
  3. Step 3: Cross multiply
    17,649.42x = 26,457.42 × 6,548.57
  4. Step 4: Simplify right side
    17,649.42x = 173,258,266.89
  5. Step 5: Solve for x
    x = 173,258,266.89/17,649.42
  6. Step 6: Final answer
    x = 9,816.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.