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Finding the Fourth Proportional to 13,477.94, 18,599.60 and 7,813.80

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Solution

The fourth proportional to 13,477.94, 18,599.60 and 7,813.80 is: 10,783.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.94 : 18,599.60 = 7,813.80 : x
  2. Step 2: Convert to fraction form
    13,477.94/18,599.60 = 7,813.80/x
  3. Step 3: Cross multiply
    13,477.94x = 18,599.60 × 7,813.80
  4. Step 4: Simplify right side
    13,477.94x = 145,333,554.48
  5. Step 5: Solve for x
    x = 145,333,554.48/13,477.94
  6. Step 6: Final answer
    x = 10,783.07

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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.