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Finding the Fourth Proportional to 13,406.50, 18,503.13 and 7,816.42

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Solution

The fourth proportional to 13,406.50, 18,503.13 and 7,816.42 is: 10,787.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.50 : 18,503.13 = 7,816.42 : x
  2. Step 2: Convert to fraction form
    13,406.50/18,503.13 = 7,816.42/x
  3. Step 3: Cross multiply
    13,406.50x = 18,503.13 × 7,816.42
  4. Step 4: Simplify right side
    13,406.50x = 144,628,235.39
  5. Step 5: Solve for x
    x = 144,628,235.39/13,406.50
  6. Step 6: Final answer
    x = 10,787.92

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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.