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Finding the Fourth Proportional to 24,065.57, 33,211.73 and 14,508.50

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Solution

The fourth proportional to 24,065.57, 33,211.73 and 14,508.50 is: 20,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,065.57 : 33,211.73 = 14,508.50 : x
  2. Step 2: Convert to fraction form
    24,065.57/33,211.73 = 14,508.50/x
  3. Step 3: Cross multiply
    24,065.57x = 33,211.73 × 14,508.50
  4. Step 4: Simplify right side
    24,065.57x = 481,852,254.92
  5. Step 5: Solve for x
    x = 481,852,254.92/24,065.57
  6. Step 6: Final answer
    x = 20,022.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.