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Finding the Fourth Proportional to 14,258.64, 21,370.14 and 6,861.11

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Solution

The fourth proportional to 14,258.64, 21,370.14 and 6,861.11 is: 10,283.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258.64 : 21,370.14 = 6,861.11 : x
  2. Step 2: Convert to fraction form
    14,258.64/21,370.14 = 6,861.11/x
  3. Step 3: Cross multiply
    14,258.64x = 21,370.14 × 6,861.11
  4. Step 4: Simplify right side
    14,258.64x = 146,622,934.68
  5. Step 5: Solve for x
    x = 146,622,934.68/14,258.64
  6. Step 6: Final answer
    x = 10,283.09

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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.