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Finding the Fourth Proportional to 14,619.64, 21,938.38 and 6,829

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Solution

The fourth proportional to 14,619.64, 21,938.38 and 6,829 is: 10,247.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,619.64 : 21,938.38 = 6,829 : x
  2. Step 2: Convert to fraction form
    14,619.64/21,938.38 = 6,829/x
  3. Step 3: Cross multiply
    14,619.64x = 21,938.38 × 6,829
  4. Step 4: Simplify right side
    14,619.64x = 149,817,197.02
  5. Step 5: Solve for x
    x = 149,817,197.02/14,619.64
  6. Step 6: Final answer
    x = 10,247.67

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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.