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Finding the Fourth Proportional to 24,376.40, 36,564.60 and 9,585.80

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Solution

The fourth proportional to 24,376.40, 36,564.60 and 9,585.80 is: 14,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.40 : 36,564.60 = 9,585.80 : x
  2. Step 2: Convert to fraction form
    24,376.40/36,564.60 = 9,585.80/x
  3. Step 3: Cross multiply
    24,376.40x = 36,564.60 × 9,585.80
  4. Step 4: Simplify right side
    24,376.40x = 350,500,942.68
  5. Step 5: Solve for x
    x = 350,500,942.68/24,376.40
  6. Step 6: Final answer
    x = 14,378.70

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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.