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Finding the Fourth Proportional to 24,224.94, 36,336.96 and 7,585.02

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Solution

The fourth proportional to 24,224.94, 36,336.96 and 7,585.02 is: 11,377.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,224.94 : 36,336.96 = 7,585.02 : x
  2. Step 2: Convert to fraction form
    24,224.94/36,336.96 = 7,585.02/x
  3. Step 3: Cross multiply
    24,224.94x = 36,336.96 × 7,585.02
  4. Step 4: Simplify right side
    24,224.94x = 275,616,568.34
  5. Step 5: Solve for x
    x = 275,616,568.34/24,224.94
  6. Step 6: Final answer
    x = 11,377.39

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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.