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Finding the Fourth Proportional to 14,458.96, 21,653.70 and 12,367

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Solution

The fourth proportional to 14,458.96, 21,653.70 and 12,367 is: 18,520.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,458.96 : 21,653.70 = 12,367 : x
  2. Step 2: Convert to fraction form
    14,458.96/21,653.70 = 12,367/x
  3. Step 3: Cross multiply
    14,458.96x = 21,653.70 × 12,367
  4. Step 4: Simplify right side
    14,458.96x = 267,791,307.90
  5. Step 5: Solve for x
    x = 267,791,307.90/14,458.96
  6. Step 6: Final answer
    x = 18,520.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.