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Finding the Fourth Proportional to 26,362.98, 39,543.24 and 9,721.80

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Solution

The fourth proportional to 26,362.98, 39,543.24 and 9,721.80 is: 14,582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,362.98 : 39,543.24 = 9,721.80 : x
  2. Step 2: Convert to fraction form
    26,362.98/39,543.24 = 9,721.80/x
  3. Step 3: Cross multiply
    26,362.98x = 39,543.24 × 9,721.80
  4. Step 4: Simplify right side
    26,362.98x = 384,431,470.63
  5. Step 5: Solve for x
    x = 384,431,470.63/26,362.98
  6. Step 6: Final answer
    x = 14,582.25

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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.