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Finding the Fourth Proportional to 14,258.86, 21,380.66 and 4,767

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Solution

The fourth proportional to 14,258.86, 21,380.66 and 4,767 is: 7,147.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258.86 : 21,380.66 = 4,767 : x
  2. Step 2: Convert to fraction form
    14,258.86/21,380.66 = 4,767/x
  3. Step 3: Cross multiply
    14,258.86x = 21,380.66 × 4,767
  4. Step 4: Simplify right side
    14,258.86x = 101,921,606.22
  5. Step 5: Solve for x
    x = 101,921,606.22/14,258.86
  6. Step 6: Final answer
    x = 7,147.95

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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.