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Finding the Fourth Proportional to 14,154.10, 21,222.94 and 5,824.70

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Solution

The fourth proportional to 14,154.10, 21,222.94 and 5,824.70 is: 8,733.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154.10 : 21,222.94 = 5,824.70 : x
  2. Step 2: Convert to fraction form
    14,154.10/21,222.94 = 5,824.70/x
  3. Step 3: Cross multiply
    14,154.10x = 21,222.94 × 5,824.70
  4. Step 4: Simplify right side
    14,154.10x = 123,617,258.62
  5. Step 5: Solve for x
    x = 123,617,258.62/14,154.10
  6. Step 6: Final answer
    x = 8,733.67

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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.