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Finding the Fourth Proportional to 23,515.44, 32,447.88 and 14,082

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Solution

The fourth proportional to 23,515.44, 32,447.88 and 14,082 is: 19,431.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,515.44 : 32,447.88 = 14,082 : x
  2. Step 2: Convert to fraction form
    23,515.44/32,447.88 = 14,082/x
  3. Step 3: Cross multiply
    23,515.44x = 32,447.88 × 14,082
  4. Step 4: Simplify right side
    23,515.44x = 456,931,046.16
  5. Step 5: Solve for x
    x = 456,931,046.16/23,515.44
  6. Step 6: Final answer
    x = 19,431.11

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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.