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Finding the Fourth Proportional to 17,638.77, 26,466.25 and 7,646.57

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Solution

The fourth proportional to 17,638.77, 26,466.25 and 7,646.57 is: 11,473.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.77 : 26,466.25 = 7,646.57 : x
  2. Step 2: Convert to fraction form
    17,638.77/26,466.25 = 7,646.57/x
  3. Step 3: Cross multiply
    17,638.77x = 26,466.25 × 7,646.57
  4. Step 4: Simplify right side
    17,638.77x = 202,375,881.81
  5. Step 5: Solve for x
    x = 202,375,881.81/17,638.77
  6. Step 6: Final answer
    x = 11,473.36

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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.