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Finding the Fourth Proportional to 24,568.80, 36,825.60 and 9,773.70

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Solution

The fourth proportional to 24,568.80, 36,825.60 and 9,773.70 is: 14,649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,568.80 : 36,825.60 = 9,773.70 : x
  2. Step 2: Convert to fraction form
    24,568.80/36,825.60 = 9,773.70/x
  3. Step 3: Cross multiply
    24,568.80x = 36,825.60 × 9,773.70
  4. Step 4: Simplify right side
    24,568.80x = 359,922,366.72
  5. Step 5: Solve for x
    x = 359,922,366.72/24,568.80
  6. Step 6: Final answer
    x = 14,649.57

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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.