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Finding the Fourth Proportional to 17,608.50, 26,421.30 and 7,746.50

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Solution

The fourth proportional to 17,608.50, 26,421.30 and 7,746.50 is: 11,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,608.50 : 26,421.30 = 7,746.50 : x
  2. Step 2: Convert to fraction form
    17,608.50/26,421.30 = 7,746.50/x
  3. Step 3: Cross multiply
    17,608.50x = 26,421.30 × 7,746.50
  4. Step 4: Simplify right side
    17,608.50x = 204,672,561.72
  5. Step 5: Solve for x
    x = 204,672,561.72/17,608.50
  6. Step 6: Final answer
    x = 11,623.51

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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.