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Finding the Fourth Proportional to 24,720.24, 37,086.68 and 7,190.06

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Solution

The fourth proportional to 24,720.24, 37,086.68 and 7,190.06 is: 10,786.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,720.24 : 37,086.68 = 7,190.06 : x
  2. Step 2: Convert to fraction form
    24,720.24/37,086.68 = 7,190.06/x
  3. Step 3: Cross multiply
    24,720.24x = 37,086.68 × 7,190.06
  4. Step 4: Simplify right side
    24,720.24x = 266,655,454.40
  5. Step 5: Solve for x
    x = 266,655,454.40/24,720.24
  6. Step 6: Final answer
    x = 10,786.93

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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.