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Finding the Fourth Proportional to 26,402.98, 39,608.32 and 7,680.58

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Solution

The fourth proportional to 26,402.98, 39,608.32 and 7,680.58 is: 11,522.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,402.98 : 39,608.32 = 7,680.58 : x
  2. Step 2: Convert to fraction form
    26,402.98/39,608.32 = 7,680.58/x
  3. Step 3: Cross multiply
    26,402.98x = 39,608.32 × 7,680.58
  4. Step 4: Simplify right side
    26,402.98x = 304,215,023.50
  5. Step 5: Solve for x
    x = 304,215,023.50/26,402.98
  6. Step 6: Final answer
    x = 11,522.00

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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.