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Finding the Fourth Proportional to 26,362.86, 39,543.13 and 7,642.49

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Solution

The fourth proportional to 26,362.86, 39,543.13 and 7,642.49 is: 11,463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,362.86 : 39,543.13 = 7,642.49 : x
  2. Step 2: Convert to fraction form
    26,362.86/39,543.13 = 7,642.49/x
  3. Step 3: Cross multiply
    26,362.86x = 39,543.13 × 7,642.49
  4. Step 4: Simplify right side
    26,362.86x = 302,207,787.43
  5. Step 5: Solve for x
    x = 302,207,787.43/26,362.86
  6. Step 6: Final answer
    x = 11,463.39

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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.