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Finding the Fourth Proportional to 17,735.76, 26,601.13 and 5,257.11

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Solution

The fourth proportional to 17,735.76, 26,601.13 and 5,257.11 is: 7,884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.76 : 26,601.13 = 5,257.11 : x
  2. Step 2: Convert to fraction form
    17,735.76/26,601.13 = 5,257.11/x
  3. Step 3: Cross multiply
    17,735.76x = 26,601.13 × 5,257.11
  4. Step 4: Simplify right side
    17,735.76x = 139,845,066.53
  5. Step 5: Solve for x
    x = 139,845,066.53/17,735.76
  6. Step 6: Final answer
    x = 7,884.92

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Why These Related Problems?

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