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Finding the Fourth Proportional to 24,742.66, 37,114.06 and 6,022.70

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Solution

The fourth proportional to 24,742.66, 37,114.06 and 6,022.70 is: 9,034.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742.66 : 37,114.06 = 6,022.70 : x
  2. Step 2: Convert to fraction form
    24,742.66/37,114.06 = 6,022.70/x
  3. Step 3: Cross multiply
    24,742.66x = 37,114.06 × 6,022.70
  4. Step 4: Simplify right side
    24,742.66x = 223,526,633.48
  5. Step 5: Solve for x
    x = 223,526,633.48/24,742.66
  6. Step 6: Final answer
    x = 9,034.06

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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.