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Finding the Fourth Proportional to 24,661.23, 36,997.38 and 7,132.43

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Solution

The fourth proportional to 24,661.23, 36,997.38 and 7,132.43 is: 10,700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,661.23 : 36,997.38 = 7,132.43 : x
  2. Step 2: Convert to fraction form
    24,661.23/36,997.38 = 7,132.43/x
  3. Step 3: Cross multiply
    24,661.23x = 36,997.38 × 7,132.43
  4. Step 4: Simplify right side
    24,661.23x = 263,881,038.05
  5. Step 5: Solve for x
    x = 263,881,038.05/24,661.23
  6. Step 6: Final answer
    x = 10,700.24

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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.