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Finding the Fourth Proportional to 13,876.66, 20,813.62 and 4,516.30

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Solution

The fourth proportional to 13,876.66, 20,813.62 and 4,516.30 is: 6,774.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.66 : 20,813.62 = 4,516.30 : x
  2. Step 2: Convert to fraction form
    13,876.66/20,813.62 = 4,516.30/x
  3. Step 3: Cross multiply
    13,876.66x = 20,813.62 × 4,516.30
  4. Step 4: Simplify right side
    13,876.66x = 94,000,488.68
  5. Step 5: Solve for x
    x = 94,000,488.68/13,876.66
  6. Step 6: Final answer
    x = 6,774.00

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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.