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Finding the Fourth Proportional to 12,580.16, 18,872.98 and 3,815.76

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Solution

The fourth proportional to 12,580.16, 18,872.98 and 3,815.76 is: 5,724.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.16 : 18,872.98 = 3,815.76 : x
  2. Step 2: Convert to fraction form
    12,580.16/18,872.98 = 3,815.76/x
  3. Step 3: Cross multiply
    12,580.16x = 18,872.98 × 3,815.76
  4. Step 4: Simplify right side
    12,580.16x = 72,014,738.70
  5. Step 5: Solve for x
    x = 72,014,738.70/12,580.16
  6. Step 6: Final answer
    x = 5,724.47

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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.