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Finding the Fourth Proportional to 12,477.24, 18,713.70 and 3,709.80

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Solution

The fourth proportional to 12,477.24, 18,713.70 and 3,709.80 is: 5,564.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.24 : 18,713.70 = 3,709.80 : x
  2. Step 2: Convert to fraction form
    12,477.24/18,713.70 = 3,709.80/x
  3. Step 3: Cross multiply
    12,477.24x = 18,713.70 × 3,709.80
  4. Step 4: Simplify right side
    12,477.24x = 69,424,084.26
  5. Step 5: Solve for x
    x = 69,424,084.26/12,477.24
  6. Step 6: Final answer
    x = 5,564.06

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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.