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Finding the Fourth Proportional to 14,423.57, 21,634.14 and 4,561.41

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Solution

The fourth proportional to 14,423.57, 21,634.14 and 4,561.41 is: 6,841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423.57 : 21,634.14 = 4,561.41 : x
  2. Step 2: Convert to fraction form
    14,423.57/21,634.14 = 4,561.41/x
  3. Step 3: Cross multiply
    14,423.57x = 21,634.14 × 4,561.41
  4. Step 4: Simplify right side
    14,423.57x = 98,682,255.11
  5. Step 5: Solve for x
    x = 98,682,255.11/14,423.57
  6. Step 6: Final answer
    x = 6,841.74

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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.