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Finding the Fourth Proportional to 14,830.86, 20,465.97 and 8,116.32

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Solution

The fourth proportional to 14,830.86, 20,465.97 and 8,116.32 is: 11,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830.86 : 20,465.97 = 8,116.32 : x
  2. Step 2: Convert to fraction form
    14,830.86/20,465.97 = 8,116.32/x
  3. Step 3: Cross multiply
    14,830.86x = 20,465.97 × 8,116.32
  4. Step 4: Simplify right side
    14,830.86x = 166,108,361.63
  5. Step 5: Solve for x
    x = 166,108,361.63/14,830.86
  6. Step 6: Final answer
    x = 11,200.18

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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.