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Finding the Fourth Proportional to 24,578.72, 36,870.60 and 9,785.60

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Solution

The fourth proportional to 24,578.72, 36,870.60 and 9,785.60 is: 14,679.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,578.72 : 36,870.60 = 9,785.60 : x
  2. Step 2: Convert to fraction form
    24,578.72/36,870.60 = 9,785.60/x
  3. Step 3: Cross multiply
    24,578.72x = 36,870.60 × 9,785.60
  4. Step 4: Simplify right side
    24,578.72x = 360,800,943.36
  5. Step 5: Solve for x
    x = 360,800,943.36/24,578.72
  6. Step 6: Final answer
    x = 14,679.40

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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.