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Finding the Fourth Proportional to 13,868.82, 20,783.79 and 6,455.70

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Solution

The fourth proportional to 13,868.82, 20,783.79 and 6,455.70 is: 9,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,868.82 : 20,783.79 = 6,455.70 : x
  2. Step 2: Convert to fraction form
    13,868.82/20,783.79 = 6,455.70/x
  3. Step 3: Cross multiply
    13,868.82x = 20,783.79 × 6,455.70
  4. Step 4: Simplify right side
    13,868.82x = 134,173,913.10
  5. Step 5: Solve for x
    x = 134,173,913.10/13,868.82
  6. Step 6: Final answer
    x = 9,674.50

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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.