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Finding the Fourth Proportional to 23,513.64, 32,449.86 and 14,082

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Solution

The fourth proportional to 23,513.64, 32,449.86 and 14,082 is: 19,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,513.64 : 32,449.86 = 14,082 : x
  2. Step 2: Convert to fraction form
    23,513.64/32,449.86 = 14,082/x
  3. Step 3: Cross multiply
    23,513.64x = 32,449.86 × 14,082
  4. Step 4: Simplify right side
    23,513.64x = 456,958,928.52
  5. Step 5: Solve for x
    x = 456,958,928.52/23,513.64
  6. Step 6: Final answer
    x = 19,433.78

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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.