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Finding the Fourth Proportional to 14,684.97, 20,265.03 and 8,312.77

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Solution

The fourth proportional to 14,684.97, 20,265.03 and 8,312.77 is: 11,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684.97 : 20,265.03 = 8,312.77 : x
  2. Step 2: Convert to fraction form
    14,684.97/20,265.03 = 8,312.77/x
  3. Step 3: Cross multiply
    14,684.97x = 20,265.03 × 8,312.77
  4. Step 4: Simplify right side
    14,684.97x = 168,458,513.94
  5. Step 5: Solve for x
    x = 168,458,513.94/14,684.97
  6. Step 6: Final answer
    x = 11,471.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.