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Finding the Fourth Proportional to 14,142.64, 19,517.48 and 8,478.32

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Solution

The fourth proportional to 14,142.64, 19,517.48 and 8,478.32 is: 11,700.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.64 : 19,517.48 = 8,478.32 : x
  2. Step 2: Convert to fraction form
    14,142.64/19,517.48 = 8,478.32/x
  3. Step 3: Cross multiply
    14,142.64x = 19,517.48 × 8,478.32
  4. Step 4: Simplify right side
    14,142.64x = 165,475,441.03
  5. Step 5: Solve for x
    x = 165,475,441.03/14,142.64
  6. Step 6: Final answer
    x = 11,700.46

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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.