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Finding the Fourth Proportional to 14,516.70, 20,017.98 and 10,265.82

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Solution

The fourth proportional to 14,516.70, 20,017.98 and 10,265.82 is: 14,156.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,516.70 : 20,017.98 = 10,265.82 : x
  2. Step 2: Convert to fraction form
    14,516.70/20,017.98 = 10,265.82/x
  3. Step 3: Cross multiply
    14,516.70x = 20,017.98 × 10,265.82
  4. Step 4: Simplify right side
    14,516.70x = 205,500,979.44
  5. Step 5: Solve for x
    x = 205,500,979.44/14,516.70
  6. Step 6: Final answer
    x = 14,156.18

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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.