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Finding the Fourth Proportional to 13,877.58, 20,816.31 and 6,477.93

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Solution

The fourth proportional to 13,877.58, 20,816.31 and 6,477.93 is: 9,716.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.58 : 20,816.31 = 6,477.93 : x
  2. Step 2: Convert to fraction form
    13,877.58/20,816.31 = 6,477.93/x
  3. Step 3: Cross multiply
    13,877.58x = 20,816.31 × 6,477.93
  4. Step 4: Simplify right side
    13,877.58x = 134,846,599.04
  5. Step 5: Solve for x
    x = 134,846,599.04/13,877.58
  6. Step 6: Final answer
    x = 9,716.87

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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.