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Finding the Fourth Proportional to 13,709.72, 20,465.32 and 12,048.98

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Solution

The fourth proportional to 13,709.72, 20,465.32 and 12,048.98 is: 17,986.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.72 : 20,465.32 = 12,048.98 : x
  2. Step 2: Convert to fraction form
    13,709.72/20,465.32 = 12,048.98/x
  3. Step 3: Cross multiply
    13,709.72x = 20,465.32 × 12,048.98
  4. Step 4: Simplify right side
    13,709.72x = 246,586,231.37
  5. Step 5: Solve for x
    x = 246,586,231.37/13,709.72
  6. Step 6: Final answer
    x = 17,986.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.