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Finding the Fourth Proportional to 14,684.92, 20,265.22 and 8,397.30

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Solution

The fourth proportional to 14,684.92, 20,265.22 and 8,397.30 is: 11,588.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684.92 : 20,265.22 = 8,397.30 : x
  2. Step 2: Convert to fraction form
    14,684.92/20,265.22 = 8,397.30/x
  3. Step 3: Cross multiply
    14,684.92x = 20,265.22 × 8,397.30
  4. Step 4: Simplify right side
    14,684.92x = 170,173,009.59
  5. Step 5: Solve for x
    x = 170,173,009.59/14,684.92
  6. Step 6: Final answer
    x = 11,588.28

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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.