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Finding the Fourth Proportional to 14,541.68, 20,067.76 and 14,038.80

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Solution

The fourth proportional to 14,541.68, 20,067.76 and 14,038.80 is: 19,373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,541.68 : 20,067.76 = 14,038.80 : x
  2. Step 2: Convert to fraction form
    14,541.68/20,067.76 = 14,038.80/x
  3. Step 3: Cross multiply
    14,541.68x = 20,067.76 × 14,038.80
  4. Step 4: Simplify right side
    14,541.68x = 281,727,269.09
  5. Step 5: Solve for x
    x = 281,727,269.09/14,541.68
  6. Step 6: Final answer
    x = 19,373.78

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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.