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Finding the Fourth Proportional to 15,913.60, 23,821.80 and 12,414.40

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Solution

The fourth proportional to 15,913.60, 23,821.80 and 12,414.40 is: 18,583.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,913.60 : 23,821.80 = 12,414.40 : x
  2. Step 2: Convert to fraction form
    15,913.60/23,821.80 = 12,414.40/x
  3. Step 3: Cross multiply
    15,913.60x = 23,821.80 × 12,414.40
  4. Step 4: Simplify right side
    15,913.60x = 295,733,353.92
  5. Step 5: Solve for x
    x = 295,733,353.92/15,913.60
  6. Step 6: Final answer
    x = 18,583.69

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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.