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Finding the Fourth Proportional to 13,878.54, 20,818.08 and 5,108.94

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Solution

The fourth proportional to 13,878.54, 20,818.08 and 5,108.94 is: 7,663.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.54 : 20,818.08 = 5,108.94 : x
  2. Step 2: Convert to fraction form
    13,878.54/20,818.08 = 5,108.94/x
  3. Step 3: Cross multiply
    13,878.54x = 20,818.08 × 5,108.94
  4. Step 4: Simplify right side
    13,878.54x = 106,358,321.64
  5. Step 5: Solve for x
    x = 106,358,321.64/13,878.54
  6. Step 6: Final answer
    x = 7,663.51

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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.